Optimization

Article	Citations
Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints	48
An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions	47
Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems	29
A method with inertial extrapolation step for split monotone inclusion problems	27
Escaping local minima with local derivative-free methods: a numerical investigation	22
A Perry-type derivative-free algorithm for solving nonlinear system of equations and minimizing ℓ1regularized problem	21
Inertial algorithm with self-adaptive step size for split common null point and common fixed point problems for multivalued mappings in Banach spaces	20
Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions	19
HJB equation for optimal control system with random impulses	17
Improved inertial extragradient methods for solving pseudo-monotone variational inequalities	16
A new Popov's subgradient extragradient method for two classes of equilibrium programming in a real Hilbert space	16
Weak and strong convergence analysis of Elman neural networks via weight decay regularization	16
Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping	15
The extragradient method for quasi-monotone variational inequalities	14
Product green degree, service free-riding, strategic price difference in a dual-channel supply chain based on dynamic game	14
A modified fixed point iteration method for solving the system of absolute value equations	13
Characterizations of robustε-quasi optimal solutions for nonsmooth optimization problems with uncertain data	13
The KKT optimality conditions for optimization problem with interval-valued objective function on Hadamard manifolds	13
S-Iteration inertial subgradient extragradient method for variational inequality and fixed point problems	13
A potential practical algorithm for minimizing the sum of affine fractional functions	13
A sustainable hybrid manufacturing/remanufacturing system with two-way substitution and WEEE directive under different market conditions	12
A projection and contraction method with adaptive step sizes for solving bilevel pseudo-monotone variational inequality problems	12
Two Bregman projection methods for solving variational inequalities	12
Global optimization algorithm for solving linear multiplicative programming problems	12
Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations	12

Stochastic analysis of an adaptive cubic regularization method under inexact gradient evaluations and dynamic Hessian accuracy	11
Non-zero-sum reinsurance and investment game between two mean-variance insurers under the CEV model	10
Tseng's methods for inclusion problems on Hadamard manifolds	10
The multi-objective multi-item just-in-time transportation problem	10
Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming	10
On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities	9
Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness	9
A class of modulus-based matrix splitting methods for vertical linear complementarity problem	9
Optimal control for uncertain random continuous-time systems	8
Zero duality gap conditions via abstract convexity	8
A new approach to solving split equality problems in Hilbert spaces	8
Mean-variance problem for an insurer with dependent risks and stochastic interest rate in a jump-diffusion market	8
New projection methods with inertial steps for variational inequalities	8
The time-dependent multi-depot fleet size and mix green vehicle routing problem: improved adaptive large neighbourhood search	8
A new black box method for monotone nonlinear equations	8
On the optimal separating hyperplane for arbitrary sets: a generalization of the SVM formulation and a convex hull approach	8
An adaptive discretization method solving semi-infinite optimization problems with quadratic rate of convergence	7
Uncertain random mean–variance–skewness models for the portfolio optimization problem	7
Double inertial projection method for variational inequalities with quasi-monotonicity	7
Connectedness of the approximate solution sets for set optimization problems	7
Weak and strong convergence of inertial Tseng's extragradient algorithms for solving variational inequality problems	7
A Bregman subgradient extragradient method with self-adaptive technique for solving variational inequalities in reflexive Banach spaces	7
On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds	7
Optimality, duality and saddle point analysis for interval-valued nondifferentiable multiobjective fractional programming problems	7
Closed-form solutions for short-term sparse portfolio optimization	7
Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems	6
Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness	6
Higher-order efficiency conditions for constrained vector equilibrium problems	6
Strong convergence theorem for common zero points of inverse strongly monotone mappings and common fixed points of generalized demimetric mappings	6
Modified accelerated Bregman projection methods for solving quasi-monotone variational inequalities	6
Semicontinuity of the solution maps to vector equilibrium problems with equilibrium constraints	6
Confidence regions of stochastic variational inequalities: error bound approach	6
Strong convergence results for variational inclusions, systems of variational inequalities and fixed point problems using composite viscosity implicit methods	6
Regularization extragradient methods for equilibrium programming in Hilbert spaces	6
Robust optimality conditions and duality for nonsmooth multiobjective fractional semi-infinite programming problems with uncertain data	6
Fixed point theorems for the Mann's iteration scheme in convex graphical rectangular b-metric spaces	6
Accelerated differential inclusion for convex optimization	6
Some extensions of the operator splitting schemes based on Lagrangian and primal–dual: a unified proximal point analysis	6
Exploiting low-rank structure in semidefinite programming by approximate operator splitting	6
An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses	6
The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces	5
Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programming	5
Existence of solutions for non-coercive variational-hemivariational inequalities involving the nonlocal fractional p-Laplacian	5
Dynamic programming for semi-Markov modulated SDEs	5
New merit functions for multiobjective optimization and their properties	5
Strong convergence of a generalized forward–backward splitting method in reflexive Banach spaces	5
A game theoretical approach for finding near-optimal solutions of an optimization problem	5
A performance measure analysis for traffic networks with random data and general monotone cost functions	5
An adaptive patch approximation algorithm for bicriteria convex mixed-integer problems	5
An inertial projection and contraction method with a line search technique for variational inequality and fixed point problems	5

Subgradient method with feasible inexact projections for constrained convex optimization problems	5
Optimal control of a heroin epidemic mathematical model	5
Necessary conditions for optimal control problems with sweeping systems and end point constraints	5
Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds	5
A dynamical system for solving inverse quasi-variational inequalities	5
Refinements of Kusuoka representations on L∞	5
Iterative methods for solving variational inequality problems with a double-hierarchical structure in Hilbert spaces	4
Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion	4
Some characterizations of a nonlinear scalarizing function via oriented distance function	4
Inexact variable metric method for convex-constrained optimization problems	4
An extension of Tychonoff’s fixed point theorem to pseudonorm adjoint topological vector spaces	4
Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities	4
A new coherent multivariate average-value-at-risk	4
Necessary optimality conditions for nonsmooth robust optimization problems	4
A new iterative method for solving the multiple-set split variational inequality problem in Hilbert spaces	4
A proximal point method for quasi-equilibrium problems in Hilbert spaces	4
Multivariate approximation by polynomial and generalized rational functions	4
Error bounds revisited	4
A proximal gradient splitting method for solving convex vector optimization problems	4
On the Frank–Wolfe algorithm for non-compact constrained optimization problems	4
A subspace inertial method for derivative-free nonlinear monotone equations	4
Coupled system of fractional hemivariational inequalities with applications	4
A primal–dual penalty method via rounded weighted-ℓ1 Lagrangian duality	4
An alternated inertial general splitting method with linearization for the split feasibility problem	4
Modified Tseng's extragradient methods with self-adaptive step size for solving bilevel split variational inequality problems	4
Ekeland variational principle and its equivalents in T1-quasi-uniform spaces	4
Admission scheduling of inpatients by considering two inter-related resources: beds and operating rooms	4
A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets	4
Efficient vectors for double perturbed consistent matrices	4
A new filled function for global minimization and system of nonlinear equations	4
Portfolio optimization under a minimax rule revisited	4
Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices	3
A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings	3
New results on egalitarian values for games with a priori unions	3
Equilibrium investment-reinsurance strategy with delay and common shock dependence under Heston's SV model	3
Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets	3
A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations	3
Proper efficiency, scalarization and transformation in multi-objective optimization: unified approaches	3
Weak and strong convergence adaptive algorithms for generalized split common fixed point problems	3
Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints	3
An iterative viscosity approximation method for the split common fixed-point problem	3
Revisiting jointly firmly nonexpansive families of mappings	3
Continuous time mean–variance–utility portfolio problem and its equilibrium strategy	3
Quasidifferentiabilities of the expectation functions of random quasidifferentiable functions	3
A Newton-type method for quasi-equilibrium problems and applications	3
Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors	3
On the optimality conditions for D.C. vector optimization problems	3
Competitive secant (BFGS) methods based on modified secant relations for unconstrained optimization	3
An accelerated forward-backward-half forward splitting algorithm for monotone inclusion with applications to image restoration	3
Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted $(p,q)$-Laplacian	3
Stability of the set of solutions for generalized vector equilibrium problems with cone constraints	3
An efficient algorithm for stochastic optimal control problems by means of a least-squares Monte-Carlo method	3
A simultaneous diagonalization-based quadratic convex reformulation for nonconvex quadratically constrained quadratic program	3
Robust optimal R&D investment under technical uncertainty in a regime-switching environment	3
An algorithm for projecting a point onto a level set of a quadratic function	3
Lower-order smoothed objective penalty functions based on filling properties for constrained optimization problems	3
Split common fixed point problem for demimetric mappings and Bregman relatively nonexpansive mappings	3
New optimality criteria for convex continuous-time problems of vector optimization	3
Solving vector interval-valued optimization problems with infinite interval constraints via integral-type penalty function	3
Sparse signal reconstruction via Hager–Zhang-type schemes for constrained system of nonlinear equations	3
Mordukhovich stationarity for mathematical programs with switching constraints under weak constraint qualifications	3
A new relaxed method for the split feasibility problem in Hilbert spaces	3
Combining approximation and exact penalty in hierarchical programming	3
A practical analysis of sample complexity for structure learning of discrete dynamic Bayesian networks	3
On farthest Bregman Voronoi cells	3
Exact dual semi-definite programs for affinely adjustable robust SOS-convex polynomial optimization problems	3
A new deterministic global computing algorithm for solving a kind of linear fractional programming	3
A dynamic simultaneous algorithm for solving split equality fixed point problems	3
Weak and strong convergence theorems for the split common fixed point problem with demicontractive operators	3
New concepts of directional derivatives for set-valued maps and applications to set optimization	3
A novel (alpha, beta)-indiscernibility-assisted intuitionistic fuzzy-rough set model and its application to dimensionality reduction	3
Bishop–Phelps cones given by an equation in Banach spaces	3
On duality for nonconvex minimization problems within the framework of abstract convexity	3
Ball-relaxed projection algorithms for multiple-sets split feasibility problem	3
Decentralized multi-agent optimization based on a penalty method	3
A class of optimization problems motivated by rank estimators in robust regression	3
A new self-adaptive algorithm for solving pseudomonotone variational inequality problems in Hilbert spaces	2
On Halpern-type sequences with applications in variational inequality problems	2
The split common fixed point problem with multiple output sets for demicontractive mappings	2
A dynamical approach for the quantitative stability of parametric bilevel equilibrium problems and applications	2

Optimal investment policy in a multi-stage problem with bankruptcy and stage-by-stage probability constraints	2
A note on the worst-case complexity of nonlinear stepsize control methods for convex smooth unconstrained optimization	2
Nonlinear metric regularity on fixed sets	2
Set-valued equilibrium problems based on the concept of null set with applications	2
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes	2
Robust equilibrium strategy for DC pension plan with the return of premiums clauses in a jump-diffusion model	2
On variational inequalities using directional convexificators	2
Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization	2
Robust nonsmooth optimality conditions for multiobjective optimization problems with infinitely many uncertain constraints	2
Modified inertial projection and contraction algorithms with non-monotonic step sizes for solving variational inequalities and their applications	2
LP-related representations of Cesàro and Abel limits of optimal value functions	2
On a solution method in indefinite quadratic programming under linear constraints	2
Weighted maximum likelihood estimation for individual growth models	2
Proximal point methods with possible unbounded errors for monotone operators in Hadamard spaces	2
Incremental proximal gradient scheme with penalization for constrained composite convex optimization problems	2
The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces	2
A conjugate directions-type procedure for quadratic multiobjective optimization	2
Analyzing the role of the Inf-Sup condition for parameter identification in saddle point problems with application in elasticity imaging	2
Affinely adjustable robust optimization for radiation therapy under evolving data uncertainty via semi-definite programming	2
On the enumeration of some inequivalent monotone Boolean functions	2
Reverse 1-centre problem on trees under convex piecewise-linear cost function	2
Minimizing or maximizing the first-passage time to a time-dependent boundary	2
A sequential quadratic programming algorithm without a penalty function, a filter or a constraint qualification for inequality constrained optimization	2
Optimal DC pension investment with square-root factor processes under stochastic income and inflation risks	2
Profit optimization of stochastically fluctuating populations under harvesting: the effects of Allee effects	2
On the symmetry of induced norm cones	2
Variational inequalities governed by strongly pseudomonotone operators	2
Algebraic core and convex calculus without topology	2
On equivalent representations and properties of faces of the cone of copositive matrices	2
On epi-convergence for set-valued maps	2
N-Fold compound option pricing with technical risk under fractional jump-diffusion model	2
Designing discrete-time control-based strategies for pursuit-evasion games on the plane	2
Solution existence theorems for finite horizon optimal economic growth problems	2
Convergence analysis of new inertial method for the split common null point problem	2
General method for solving multi-objective de novo programming problem	2
Tykhonov well-posedness of a mixed variational problem	2
Tikhonov regularization for a class of generalized hemivariational inequality in Banach spaces	2
Robust efficiency and well-posedness in uncertain vector optimization problems	2
Hadamard well-posedness for a set optimization problem with an infinite number of constraints	2
A novel convergent filled function algorithm for multi-dimensional global optimization	2
Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality	2
New accelerated splitting algorithm for monotone inclusion problems	2
A note on characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators	2
Convergence analysis for fixed point problem of asymptotically nonexpansive mappings and variational inequality problem in Hilbert spaces	2
Solving set-valued optimization problems using a multiobjective approach	2
A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization	2
A new self-adaptive method for the split equality common fixed-point problem of quasi-nonexpansive mappings	2
A multi-leader-follower game for energy demand-side management	2
Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems	2
New representations of epigraphs of conjugate mappings and Lagrange, Fenchel–Lagrange duality for vector optimization problems	2
A study on approximate controllability of non-autonomous evolution system with nonlocal conditions using sequence method	2
Some advances on constrained Markov decision processes in Borel spaces with random state-dependent discount factors	2
Differential stability of convex discrete optimal control problems with possibly empty solution sets	2
Convergence analysis for solving equilibrium problems and split feasibility problems in Hilbert spaces	2
An approximation algorithm for solving a split problem of fixed point and variational inclusion	2
Weak and strong convergence of a modified adaptive generalized Popov's algorithm for solving variational inequality problems	2
Solvability of a regular polynomial vector optimization problem without convexity	2
Optimal control of fractional Sturm–Liouville wave equations on a star graph	2
On the existence of solutions and optimal control for set-valued quasi-variational–hemivariational inequalities with applications	2
On Lipschitz continuity of approximate solutions to set-valued equilibrium problems via nonlinear scalarization	2
Optimization of road design via the use of a queueing model with transit and local users and processor sharing discipline	2
On some efficiency conditions for vector optimization problems with uncertain cone constraints: a robust approach via set-valued inclusions	2