Optimization

Papers
(The median citation count of Optimization is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)
ArticleCitations
An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions43
Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints40
Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems28
Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty21
A Perry-type derivative-free algorithm for solving nonlinear system of equations and minimizing ℓ1regularized problem21
A method with inertial extrapolation step for split monotone inclusion problems21
Qualitative properties of the minimum sum-of-squares clustering problem21
Weak and strong convergence analysis of Elman neural networks via weight decay regularization20
Inertial algorithm with self-adaptive step size for split common null point and common fixed point problems for multivalued mappings in Banach spaces19
Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions19
Modified matrix-free methods for solving system of nonlinear equations19
Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping15
Escaping local minima with local derivative-free methods: a numerical investigation15
A new Popov's subgradient extragradient method for two classes of equilibrium programming in a real Hilbert space15
Improved inertial extragradient methods for solving pseudo-monotone variational inequalities14
A Stackelberg reinsurance–investment game with asymmetric information and delay14
Characterizations of robustε-quasi optimal solutions for nonsmooth optimization problems with uncertain data13
HJB equation for optimal control system with random impulses13
Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations12
A potential practical algorithm for minimizing the sum of affine fractional functions11
S-Iteration inertial subgradient extragradient method for variational inequality and fixed point problems11
Two Bregman projection methods for solving variational inequalities11
A modified fixed point iteration method for solving the system of absolute value equations11
Product green degree, service free-riding, strategic price difference in a dual-channel supply chain based on dynamic game11
Stochastic analysis of an adaptive cubic regularization method under inexact gradient evaluations and dynamic Hessian accuracy10
A projection and contraction method with adaptive step sizes for solving bilevel pseudo-monotone variational inequality problems10
Non-zero-sum reinsurance and investment game between two mean-variance insurers under the CEV model10
The multi-objective multi-item just-in-time transportation problem10
The extragradient method for quasi-monotone variational inequalities9
Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming9
The KKT optimality conditions for optimization problem with interval-valued objective function on Hadamard manifolds9
Optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem9
A sustainable hybrid manufacturing/remanufacturing system with two-way substitution and WEEE directive under different market conditions9
Tseng's methods for inclusion problems on Hadamard manifolds9
Global optimization algorithm for solving linear multiplicative programming problems8
On second-order optimality conditions for optimal control problems governed by the obstacle problem8
On the inertial forward-backward splitting technique for solving a system of inclusion problems in Hilbert spaces8
Optimal pricing and service capacity management for a matching queue problem with loss-averse customers8
Zero duality gap conditions via abstract convexity8
On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities7
Mean-variance problem for an insurer with dependent risks and stochastic interest rate in a jump-diffusion market7
On the optimal relaxation parameters of Krasnosel'ski–Mann iteration7
On the optimal separating hyperplane for arbitrary sets: a generalization of the SVM formulation and a convex hull approach7
Mean-variance asset–liability management with partial information and uncertain time horizon7
A Bregman subgradient extragradient method with self-adaptive technique for solving variational inequalities in reflexive Banach spaces7
Connectedness of the approximate solution sets for set optimization problems7
New projection methods with inertial steps for variational inequalities7
Optimality, duality and saddle point analysis for interval-valued nondifferentiable multiobjective fractional programming problems6
Semicontinuity of the solution maps to vector equilibrium problems with equilibrium constraints6
A new black box method for monotone nonlinear equations6
Some extensions of the operator splitting schemes based on Lagrangian and primal–dual: a unified proximal point analysis6
A symplectic pseudospectral method for constrained time-delayed optimal control problems and its application to biological control problems6
A new approach to solving split equality problems in Hilbert spaces6
An adaptive discretization method solving semi-infinite optimization problems with quadratic rate of convergence6
Weak and strong convergence of inertial Tseng's extragradient algorithms for solving variational inequality problems6
Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness6
A decomposition algorithm for Nash equilibria in intersection management6
Robust utility maximization of terminal wealth with drift and volatility uncertainty6
Regularization extragradient methods for equilibrium programming in Hilbert spaces6
The time-dependent multi-depot fleet size and mix green vehicle routing problem: improved adaptive large neighbourhood search6
Accelerated differential inclusion for convex optimization6
Uncertain random mean–variance–skewness models for the portfolio optimization problem6
Closed-form solutions for short-term sparse portfolio optimization6
A class of modulus-based matrix splitting methods for vertical linear complementarity problem6
Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion6
An inertial relaxed CQ algorithm with an application to the LASSO and elastic net5
An inertial projection and contraction method with a line search technique for variational inequality and fixed point problems5
Strong convergence theorem for common zero points of inverse strongly monotone mappings and common fixed points of generalized demimetric mappings5
Two projection algorithms for a class of split feasibility problems with jointly constrained Nash equilibrium models5
The indefinite proximal point algorithms for maximal monotone operators5
On split null point and common fixed point problems for multivalued demicontractive mappings5
Existence of solutions for non-coercive variational-hemivariational inequalities involving the nonlocal fractional p-Laplacian5
A primal-dual interior point algorithm for convex quadratic programming based on a new parametric kernel function5
Strong convergence of a generalized forward–backward splitting method in reflexive Banach spaces5
Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits5
Perturbed iterative methods for a general family of operators: convergence theory and applications5
Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems5
Confidence regions of stochastic variational inequalities: error bound approach5
An adaptive patch approximation algorithm for bicriteria convex mixed-integer problems5
Exploiting low-rank structure in semidefinite programming by approximate operator splitting5
Modified accelerated Bregman projection methods for solving quasi-monotone variational inequalities5
Fixed point theorems for the Mann's iteration scheme in convex graphical rectangular b-metric spaces5
Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness5
Optimality conditions for a multiobjective bilevel optimization problem involving set valued constraints4
Weak subgradient method for solving nonsmooth nonconvex optimization problems4
Fast convex optimization via a third-order in time evolution equation4
Higher-order efficiency conditions for constrained vector equilibrium problems4
Subgradient method with feasible inexact projections for constrained convex optimization problems4
New merit functions for multiobjective optimization and their properties4
Iterative methods for solving variational inequality problems with a double-hierarchical structure in Hilbert spaces4
Modified Tseng's extragradient methods with self-adaptive step size for solving bilevel split variational inequality problems4
Some characterizations of a nonlinear scalarizing function via oriented distance function4
Ekeland variational principle and its equivalents in T1-quasi-uniform spaces4
A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets4
Optimal control for uncertain random continuous-time systems4
New duality results for evenly convex optimization problems4
Necessary optimality conditions for nonsmooth robust optimization problems4
Necessary optimality conditions for a semivectorial bilevel problem under a partial calmness condition4
Existence of quasi-equilibria on unbounded constraint sets4
The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces4
Multivariate approximation by polynomial and generalized rational functions4
On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds4
Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities4
Inner approximation algorithm for solving linear multiobjective optimization problems4
A gap function and existence of solutions for a non-smooth vector variational inequality on Hadamard manifolds4
Dynamic programming for semi-Markov modulated SDEs4
Competitive secant (BFGS) methods based on modified secant relations for unconstrained optimization4
Inexact variable metric method for convex-constrained optimization problems4
Shrinking projection method for solving inclusion problem and fixed point problem in reflexive Banach spaces4
Error bounds revisited4
New algorithms for the split common null point problem4
An extension of Tychonoff’s fixed point theorem to pseudonorm adjoint topological vector spaces4
Recession function and its applications in optimization4
A simultaneous diagonalization-based quadratic convex reformulation for nonconvex quadratically constrained quadratic program3
New concepts of directional derivatives for set-valued maps and applications to set optimization3
A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations3
Robust optimality conditions and duality for nonsmooth multiobjective fractional semi-infinite programming problems with uncertain data3
A primal–dual penalty method via rounded weighted-ℓ1 Lagrangian duality3
A new iterative method for solving the multiple-set split variational inequality problem in Hilbert spaces3
Coupled system of fractional hemivariational inequalities with applications3
An iterative viscosity approximation method for the split common fixed-point problem3
Strong convergence results for variational inclusions, systems of variational inequalities and fixed point problems using composite viscosity implicit methods3
Refinements of Kusuoka representations on L3
On farthest Bregman Voronoi cells3
Combining approximation and exact penalty in hierarchical programming3
New results on egalitarian values for games with a priori unions3
An algorithm for approximating a common solution of variational inequality and convex minimization problems3
A new coherent multivariate average-value-at-risk3
Proper efficiency, scalarization and transformation in multi-objective optimization: unified approaches3
Weak and strong convergence adaptive algorithms for generalized split common fixed point problems3
Weak and strong convergence theorems for the split common fixed point problem with demicontractive operators3
Tikhonov regularization for a class of generalized hemivariational inequality in Banach spaces3
Portfolio optimization under a minimax rule revisited3
Continuous time mean–variance–utility portfolio problem and its equilibrium strategy3
Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds3
Solving vector interval-valued optimization problems with infinite interval constraints via integral-type penalty function3
Admission scheduling of inpatients by considering two inter-related resources: beds and operating rooms3
A practical analysis of sample complexity for structure learning of discrete dynamic Bayesian networks3
Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices3
On the optimality conditions for D.C. vector optimization problems3
On the Frank–Wolfe algorithm for non-compact constrained optimization problems3
A performance measure analysis for traffic networks with random data and general monotone cost functions3
Stability of the set of solutions for generalized vector equilibrium problems with cone constraints3
An efficient algorithm for stochastic optimal control problems by means of a least-squares Monte-Carlo method3
Lower-order smoothed objective penalty functions based on filling properties for constrained optimization problems3
Necessary conditions for optimal control problems with sweeping systems and end point constraints3
On duality for nonconvex minimization problems within the framework of abstract convexity3
Double inertial projection method for variational inequalities with quasi-monotonicity3
An alternated inertial general splitting method with linearization for the split feasibility problem3
Ball-relaxed projection algorithms for multiple-sets split feasibility problem3
Decentralized multi-agent optimization based on a penalty method3
A proximal point method for quasi-equilibrium problems in Hilbert spaces3
A game theoretical approach for finding near-optimal solutions of an optimization problem3
Optimal control of a heroin epidemic mathematical model3
A proximal gradient splitting method for solving convex vector optimization problems3
Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets3
New representations of epigraphs of conjugate mappings and Lagrange, Fenchel–Lagrange duality for vector optimization problems2
Exact dual semi-definite programs for affinely adjustable robust SOS-convex polynomial optimization problems2
A new relaxed method for the split feasibility problem in Hilbert spaces2
Optimal control of fractional Sturm–Liouville wave equations on a star graph2
New nonasymptotic convergence rates of stochastic proximal point algorithm for stochastic convex optimization2
A global optimality result in probabilistic spaces using control function2
Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programming2
Equilibrium investment-reinsurance strategy with delay and common shock dependence under Heston's SV model2
Discrete-time constrained stochastic games with the expected average payoff criteria2
A subspace inertial method for derivative-free nonlinear monotone equations2
The split common fixed point problem with multiple output sets for demicontractive mappings2
A new self-adaptive algorithm for solving pseudomonotone variational inequality problems in Hilbert spaces2
Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints2
Nonlinear metric regularity on fixed sets2
An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses2
A note on characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators2
Bishop–Phelps cones given by an equation in Banach spaces2
A new self-adaptive method for the split equality common fixed-point problem of quasi-nonexpansive mappings2
A generalization of multiplier rules for infinite-dimensional optimization problems2
Regularized nonmonotone submodular maximization2
A study on approximate controllability of non-autonomous evolution system with nonlocal conditions using sequence method2
A dynamical system for solving inverse quasi-variational inequalities2
Efficient vectors for double perturbed consistent matrices2
New optimality criteria for convex continuous-time problems of vector optimization2
General method for solving multi-objective de novo programming problem2
Robust nonsmooth optimality conditions for multiobjective optimization problems with infinitely many uncertain constraints2
On e-convex functions and e-subdifferentials in locally convex spaces2
Dual methods for frictional contact problem with electroelastic-locking materials2
Incremental proximal gradient scheme with penalization for constrained composite convex optimization problems2
Reduced subgradient bundle method for linearly constrained non-smooth non-convex problems2
On some efficiency conditions for vector optimization problems with uncertain cone constraints: a robust approach via set-valued inclusions2
The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces2
Optimal investment policy in a multi-stage problem with bankruptcy and stage-by-stage probability constraints2
On Halpern-type sequences with applications in variational inequality problems2
Minimizing or maximizing the first-passage time to a time-dependent boundary2
Reverse 1-centre problem on trees under convex piecewise-linear cost function2
Robust optimal R&D investment under technical uncertainty in a regime-switching environment2
Sparse signal reconstruction via Hager–Zhang-type schemes for constrained system of nonlinear equations2
Convergence analysis for fixed point problem of asymptotically nonexpansive mappings and variational inequality problem in Hilbert spaces2
Robust efficiency and well-posedness in uncertain vector optimization problems2
Levitin–Polyak well-posedness of generalized bilevel equilibrium problem with perturbations2
Variational inequalities governed by strongly pseudomonotone operators2
Optimal DC pension investment with square-root factor processes under stochastic income and inflation risks2
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes2
A new approach to strong duality for composite vector optimization problems2
A class of optimization problems motivated by rank estimators in robust regression2
Infinite-dimensional vector optimization and a separation theorem2
Local dense solutions for equilibrium problems with applications to noncooperative games2
Solvability of a regular polynomial vector optimization problem without convexity2
Weighted maximum likelihood estimation for individual growth models2
On a solution method in indefinite quadratic programming under linear constraints2
A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings2
Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization2
Tykhonov well-posedness of a mixed variational problem2
Optimality conditions for efficient solutions of nonconvex constrained multiobjective optimization problems via image space analysis2
On the linear convergence rate of a relaxed forward–backward splitting method2
Solvability and optimal control of fractional differential hemivariational inequalities2
A dynamic simultaneous algorithm for solving split equality fixed point problems2
A new filled function for global minimization and system of nonlinear equations2
Solving set-valued optimization problems using a multiobjective approach2
Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality2
Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors2
A sequential quadratic programming algorithm without a penalty function, a filter or a constraint qualification for inequality constrained optimization2
Analyzing the role of the Inf-Sup condition for parameter identification in saddle point problems with application in elasticity imaging2
Quasidifferentiabilities of the expectation functions of random quasidifferentiable functions2
Mordukhovich stationarity for mathematical programs with switching constraints under weak constraint qualifications2
Algebraic core and convex calculus without topology2
General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization2
On Hölder calmness and Hölder well-posedness for optimal control problems1
LP-related representations of Cesàro and Abel limits of optimal value functions1
On epi-convergence for set-valued maps1
On variational inequalities using directional convexificators1
H∞ control for linear descriptor systems with non-differentiable delays in both state and observation1
Designing discrete-time control-based strategies for pursuit-evasion games on the plane1
Comments on the paper ‘A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations’1
Preface1
Nonregular mixed-constrained optimization problems1
An inertial projection and contraction algorithm for pseudomonotone variational inequalities without Lipschitz continuity1
Distributionally robust optimization with multivariate second-order stochastic dominance constraints with applications in portfolio optimization1
Strong duality of a conic optimization problem with a single hyperplane and two cone constraints1
Some advances on constrained Markov decision processes in Borel spaces with random state-dependent discount factors1
Constraint qualifications in terms of convexificators for nonsmooth programming problems with mixed constraints1
An aggregate homotopy method for solving unconstrained minimax problems1
Robust projection twin support vector machine via DC programming1
Convergence analysis for solving equilibrium problems and split feasibility problems in Hilbert spaces1
One-step Bregman projection methods for solving variational inequalities in reflexive Banach spaces1
Weak and strong convergence of a modified adaptive generalized Popov's algorithm for solving variational inequality problems1
A method combining norm-relaxed QCQP subproblems with active set identification for inequality constrained optimization1
Optimal social welfare policy within financial and life insurance markets1
Strong convergence theorems for solving pseudo-monotone variational inequality problems and applications1
Proximal stochastic recursive momentum algorithm for nonsmooth nonconvex optimization problems1
A note on the paper ‘A global optimality result in probabilistic spaces using control function’1
Inertial accelerated algorithms for the split common fixed-point problem of directed operators1
Convergence analysis of new inertial method for the split common null point problem1
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