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 2022-05-01 to 2026-05-01.)
ArticleCitations
Value at risk approach to producer's best response in an electricity market with uncertain demand34
Convergence rate of the relaxed CQ algorithm under Hölderian type error bound property32
A note on the paper ‘A global optimality result in probabilistic spaces using control function’23
Existence of financial equilibria with real assets: a variational inequality approach19
Radial epiderivative based line search methods in nonconvex and nonsmooth box-constrained optimization18
Primal characterizations of stability of error bounds for semi-infinite convex constraint systems in Banach spaces18
A long-step second-order corrector interior point algorithm for linear optimization based on the algebraic equivalent transformation17
Quantitative stability for a class of stochastic vector linear variational inequalities17
Characterizations of robustness in vector optimization w.r.t. variable domination structures under uncertainty via image space analysis16
Stability of solutions to set-valued equilibrium problems via scalarization16
A new filled function method for solving constrained global optimization problems16
Strong duality of a conic optimization problem with a single hyperplane and two cone constraints15
A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces15
Stability of nonhomogeneous split equality and split feasibility problems with possibly nonconvex constraint sets15
Levitin–Polyak well-posedness of split multivalued variational inequalities14
Tseng-type splitting projection algorithms for equilibrium problems in Hilbert spaces14
A novel view on the mean value theorem for nondifferentiable functions and on hemivariational inequality theory13
Quasi-variational inequalities on product spaces and its applications to stochastic equilibrium problems13
MPCC: strong stability of weakly nondegenerate S-stationary points13
New fast proximal point algorithms for monotone inclusion problems with applications to image recovery13
A robust optimization method with successive linear programming for intensity-modulated radiation therapy12
Optimal synthesis for a class of L optimal control problems in the plane with L 11
Two modified adaptive cubic regularization algorithms by using the nonmonotone Armijo-type line search11
A multi-leader-follower game for energy demand-side management11
A note on the convergence of PDHG for saddle point problem with nonlinear function11
Identifiability and sensitivity analysis of singular inverse problems arising from partial differential equations in banach spaces*11
A fast smoothing newton method for bilevel hyperparameter optimization for SVC with logistic loss11
On projected solutions for quasi equilibrium problems with non-self constraint map10
Extragradient type projection algorithm for solving quasimonotone variational inequalities10
Risk-sensitive first passage stochastic games with unbounded costs9
Alternative KKT conditions for (semi)infinite convex optimization9
Finite horizon semi-Markov games with the expected-positive-deviation criterion9
Large-step algorithm for linear complementarity problem with new search direction9
Obituary9
Optimality conditions for group sparsity constrained optimization problems with equality and inequality constraints9
A proximal forward–reflected method with momentum effects for solving mixed variational inequality problems9
The multiple greedy PSB method with faster superlinear convergence rate9
Inexact proximal point algorithm for quasiconvex optimization problems on Hadamard manifolds9
The upper semicontinuity and Hölder stability of optimal solution sets for semidefinite programming9
Multiobjective optimal control problems. Stationary Navier–Stokes equations9
Obituary for Georg J. Still (13 November 1951–15 December 2023)9
Second-order optimality conditions for locally Lipschitz vector optimization problems9
Adjoint subgradient algorithms for nonsmooth optimization problems in Hilbert spaces9
Necessary conditions for optimal control problems with sweeping systems and end point constraints8
Mangasarian-type second- and higher-order duality for mathematical programs with complementarity constraints8
Fast continuous-time approach for non-smooth convex minimization combining a constant damping coefficient, time scaling coefficient and Tikhonov regularization7
On relationships between vector optimization problems and vector variational inequalities using directional convexificators7
Two inertial-type algorithms for solving the split feasibility problem7
Uncertain stochastic hybrid systems and zero-sum games: saddle-point solution and application to counterterrorism7
Strong convergence of one-step inertial algorithm for a class of bilevel variational inequalities7
Obituary for Prof. Dr. habil. Alfred Göpfert7
A Lie-bracket-based notion of stabilizing feedback in optimal control7
Generalized Hukuhara directional differentiability of interval-valued functions on Riemannian manifolds7
A continuous perspective on the inertial corrected primal-dual proximal splitting7
An SDE perspective on stochastic inertial gradient dynamics with time-dependent viscosity and Hessian-driven damping7
Filled function method that avoids minimizing the objective function again7
Feasibility problems via paramonotone operators in a convex setting7
Training neural networks from an ergodic perspective7
Linearized splitting algorithm with inertial extrapolation for solving split variational inclusion problem and applications7
Preface7
Affinely adjustable robust optimization for radiation therapy under evolving data uncertainty via semi-definite programming7
Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems6
Sufficient conditions for error bounds of inequalities and applications in Hilbert spaces6
An inexact proximal linearized DC algorithm with provably terminating inner loop6
Necessary and sufficient optimality conditions for nonsmooth nonconvex generalized Nash equilibrium problems6
Modified subgradient extragradient method for solution of split variational inequality problem with application to generalized Nash equilibrium problem6
A special issue dedicated to the Autumn school on equilibrium problems and minimax inequalities, ASEM19, 25–26 September 2019, El Jadida, Morocco6
A new improved convex underestimator for univariate functions in global optimization6
A new nonmonotone line search method for nonsmooth nonconvex optimization5
Applying tangential subdifferentials in bilevel optimization5
A novel sequential optimality condition for smooth constrained optimization and algorithmic consequences5
Optimization of first-order Nicoletti boundary value problem with discrete and differential inclusions and duality5
On Long Orbit Empty Value (LOEV) principle5
Subsampled cubic regularization method for finite-sum minimization5
Stackelberg strategy on a degenerate parabolic equation with missing data5
Evolutionary differential variational-hemivariational inequalities: solvability and pullback attractor5
On some global implicit function theorems for set-valued inclusions with applications to parametric vector optimization5
Optimality conditions for bilevel programmes via Moreau envelope reformulation*5
New accelerated splitting algorithm for monotone inclusion problems5
A Barzilai–Borwein scaling-type conjugate gradient algorithm for vector optimization5
New modification of projected reflected gradient algorithm5
Moderate deviations for stochastic variational inequalities5
A new concept of semistrict quasiconvexity for vector functions5
New optimal result using ( τ - ø)-proximal contraction in Menger PM -space and an application to integral equation5
Optimal control for a nonlinear stochastic PDE model of cancer growth5
A new splitting algorithm for monotone inclusion problems involving three maximally monotone operators and a cocoercive operator5
Revisiting the fitting of the Nelson–Siegel and Svensson models4
Optimal control of a queueing system4
Inertial subgradient projection techniques for solving a class of bilevel equilibrium problems4
Dual Kuhn-Tucker necessary conditions for strict minima of order two for nonsmooth vector optimization problems with inequality and equality constraints4
A note on the paper “Directional derivatives in set optimization with the set order defined by Minkowski difference” [Optimization 74(1), 219–238(2023)]4
Stable vector equilibrium problem with mixed constraints and characterizations for efficiency4
A global optimality result using coupled proximal contractions with stability analysis4
A solving approach for the nonlinear trilevel programming problem with linear programming problem in the lower level4
Solving equilibrium and fixed-point problems in Hilbert spaces: a new strongly convergent inertial subgradient extragradient method4
A novel modified Liu-Storey nonlinear conjugate gradient method for solving vector optimization problems4
Golden ratio splitting algorithm for equilibrium problems4
A note on optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem4
Directional derivatives in set optimization with the set order defined by Minkowski difference4
Exact penalization at d-stationary points of cardinality- or rank-constrained problem4
Linear convergence of resolvent splitting with minimal lifting and its application to a primal–dual algorithm4
On Douglas-Rachford splitting that generally fails to be a proximal mapping: a degenerate proximal point analysis4
New merit functions for multiobjective optimization and their properties4
Joint replenishment problem meets scheduling: algorithms for the maximum flow time objective4
Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints4
Local solutions of the multi-source Weber problem4
Properties of generalized polyhedral convex multifunctions4
A note on the approximate controllability of damped second-order differential inclusions with state-dependent delay4
Viscosity-regularization iterative methods for solving equilibrium problems in Hilbert space4
Nonregular multiobjective problems: optimality conditions4
Asymptotic regularity results for a viscosity version of Halpern-type iterations4
Optimality conditions and DC-Dinkelbach-type algorithm for vector fractional programming problems with ratios of difference of convex functions4
Second-order optimality conditions for bi-local solutions of bilevel programs4
Nash equilibrium and minimax theorems via variational tools of convex analysis4
Convergences of Lasserre hierarchy of an SDP relaxation for robust non-convex polynomial optimization4
Weak and strong convergence of a modified adaptive generalized Popov's algorithm for solving variational inequality problems4
New second order sufficient optimality conditions for state constrained parabolic control problems3
A viscosity-type scheme for optimization problems in Hadamard spaces with applications3
A fast primal-dual-active-jump method for minimization in BV((0,T) ℝd)3
Optimal control and zero-sum game subject to multifactor uncertain random systems with jump3
Approximation of the HJB viscosity solutions in differential inclusion optimal control with state constraint3
A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization3
New gradient methods with adaptive stepsizes by approximate models3
Weak and strong formulations for a Timoshenko plate with crack indented by wedge and subjected to non-penetration conditions3
Linear conic and two-stage stochastic optimization revisited via semi-infinite optimization3
Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions3
Two-step inertial viscosity-type method for a family of strongly quasi-nonexpansive mappings with applications3
Nonlinear robust distribution planning model for perishable products based on sustainable development3
A class of random generalized inverse quasi-variational inequalities in Hilbert spaces with applications3
Optimal control of fractional Sturm–Liouville wave equations on a star graph3
Finite-time and fixed-time stable dynamical systems for solving inverse quasi-variational inequality problems3
Some well-posedness equivalent results for a generalized split variational-hemivariational inequality3
A new technique to improve the efficiency of projection based methods3
Optimal robust positive invariant ellipsoidal set for discrete-time linear system subject to ellipsoidal disturbance set3
Minimally fine exhausters3
On higher-order strong KKT optimality conditions for multiobjective semi-infinite programming problems3
Set-valued optimization in variable preference structures with new variants of generalized convexity3
Pareto efficiency in robust optimization: simplification from a new perspective3
Fixed points and best proximity points for some general classes of multi-valued operators3
An approximation algorithm for solving a split problem of fixed point and variational inclusion3
The horizontal tensor complementarity problem3
A comparative study of different algorithms and scalarization techniques for constructing the Pareto front of multiobjective optimization problems3
Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator3
On regularization schemes for data-driven optimization based on Cressie–Read divergence and CVaR3
A subspace inertial method for derivative-free nonlinear monotone equations3
Comparative analysis of accelerated gradient algorithms for convex optimization: high and super resolution ODE approach3
Finite-time attractor optimization based on differential lagrange multipliers3
Necessary optimality conditions for a bilevel multiobjective problem in terms of approximations3
Optimal control results for fractional differential hemivariational inequalities of order r (1, 2)3
On the weakest constraint qualification for sharp local minimizers3
Optimal Neumann control of the wave equation with L 1 -control cost: the finite-time turnpike property3
Reach-avoid semi-Markov decision processes with time-varying obstacles3
Forward-backward-half forward splitting algorithm with deviations3
The funnel tree algorithm for finding shortest paths on polyhedral surfaces3
Second-order Karush/Kuhn–Tucker conditions and duality for constrained multiobjective optimization problems3
Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces3
New formulas for subdifferentials of perturbed distance functions3
On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives3
Optimistic value models of saddle point equilibrium control problems for uncertain jump systems3
New strong convergence analysis for variational inequalities and fixed point problems3
Optimal DC pension investment with square-root factor processes under stochastic income and inflation risks3
A type of minimal and maximal point theorem in locally convex product cones3
On e -convex functions and their applications in optimality conditions3
Solution path algorithm for distributionally robust regression3
Lower semi-continuous augmented function for global optimization problems3
Quadratic maximization of reachable values of stable discrete-time affine systems2
Products of functions with bounded Hess + complement2
The solvability of weighted complementarity problems and a smoothing Newton algorithm under the local error bound2
Pareto efficiency for vector-valued functions which are lower semi-continuous in the sense of Penot and Théra2
Weak convergence of inertial proximal algorithms with self adaptive stepsize for solving multivalued variational inequalities2
Enhancing convergence speed in sparse signal denoising: the APFISTA algorithm2
Optimality and duality for approximate solutions of multiobjective optimization problems involving intersection of closed sets2
Inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces2
A cyclic iterative method for solving the system of split equality zero-point problems2
Noncoercive convex sweeping processes with velocity constraints2
Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems2
Power utility maximization problem under rough stochastic local volatility models with continuous-time Markov chain approximation2
Fractional stochastic hemivariational inequalities of higher order: stability and optimal control2
Semigroup-based theoretical prospects on optimal control of stochastic second-order Gurtin–Pipkin integro-differential equations2
A zeroth-order variance-reduced method for decentralized stochastic non-convex optimization2
Generalized Fejér monotone sequences and their finitary content2
Algorithmic schemes for non-smooth simple bilevel programming problem and simple MPEC problem2
A new approach to establishing strong convergence theorems for pseudomonotone equilibrium problems2
Preface to the special issue dedicated to Dr. Alexander J. Zaslavski on his 65th birthday2
The GUS-property of linear complementarity problems over tensor spaces2
On a hemivariational inequality with non-monotone operator2
Total asymptotically nonexpansive mappings and generalized variational-like inclusion problems in semi-inner product spaces2
First- and second-order optimality conditions for the control of infinite horizon Navier–Stokes equations2
A class of time-optimal feedback control for fractional neutral evolution hemivariational inequalities with fixed delay2
An accelerated derivative-free method for solving large-scale nonlinear non-monotone equations2
Inertial method for solving split equality Hammerstein-type equation problems in reflexive Banach spaces2
Stability of the approximate solution sets for set optimization problems with the perturbations of feasible set and objective mapping2
A Frank-Wolfe-type theorem for constrained nonconvex polynomial programs2
A derivative-free modified tensor method with curvilinear linesearch for unconstrained nonlinear programming2
On Kahan's automatic step-size control and an anadromic gradient descent iteration2
Global convergence of dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization2
An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses2
Approximate solution of a zero-sum linear-quadratic differential game by the auxiliary parameter method: analytical/numerical study2
Robust bilevel optimization: algorithms, complexity and application2
Reaction-diffusion systems in annular domains: source stability estimates with boundary observations2
Globalized distributionally robust optimization problems under the moment-based framework2
About the Kernel of the strongly quasiconvex function generated projection2
Two-step inertial proximal difference-of-convex algorithm2
New approximation methods for solving quasi-monotone variational inequalities2
An augmented memoryless Davidon–Fletcher–Powell method based on the Dai–Liao approach2
Splitting algorithms for solving state-dependent maximal monotone inclusion problems2
Bang–bang optimal control problems for the viscous Camassa–Holm equations2
Turnpike phenomenon for averaged optimal control2
Accelerated overrelaxation algorithm for optimizing twin random vector functional link regression2
Simultaneous reconstruction of the shape and surface impedance from Cauchy data for the Helmholtz equation2
Optimality analysis on ℓ 0/1 -sparsity regularized nonsmooth optimization2
The MedRank algorithm and Spearman's footrule versus the Borda count and Spearman's rank correlation2
A Newton-type proximal gradient method for uncertain vector optimization problems with finite uncertain scenarios2
A semismooth Newton based augmented Lagrangian algorithm for Lovász theta SDP problem2
A novel approach to pessimistic bilevel problems. An application to the rank pricing problem with ties2
A game theoretical approach for finding near-optimal solutions of an optimization problem2
On Fenchel c -conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality2
Ekeland's variational principle for weighted set relation with set perturbation and application to game theory2
Optimal consumption, investment and life-insurance purchase under a stochastically fluctuating economy2
Weighted maximum likelihood estimation for individual growth models2
Terminal wealth maximization under drift uncertainty2
Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm1
Well-posedness and solution stability of parametric generalized set payoffs games via the null set concept1
On the pointwise and global well-posedness for nonconvex set optimization problems1
Existence of solutions for polyhedral convex set optimization problems1
A note on jointly convex Nash games1
Inexact online proximal mirror descent for time-varying composite optimization1
Maximal Demyanov difference1
Optimal sizing of the sediment replenishment capacity based on robust ergodic control of subordinator-driven dynamics1
On the enumeration of some inequivalent monotone Boolean functions1
Variational rationality: finding cheap and quick enough ways of motion to satisfice our recurrent and changing needs/desires1
Optimality conditions and Lagrange dualities for a composite optimization problem involving nonconvex functions1
Geometric fidelity and discretization effects in an elliptic PDE inverse problem1
A minimax approach to duality for linear distributional sensitivity testing1
The optimal control problems of stochastic heat equations with switching controls1
Revisiting the convergence rate of the Lasserre hierarchy for polynomial optimization over the hypercube1
Conic cancellation laws and some applications in set optimization1
Convergence of solutions to nonlinear nonconvex optimal control problems1
Comments on the paper ‘A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations’1
On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds1
On the convergence of local solutions for the method quADAPT1
A dynamical system with fixed-time convergence for solving the split feasibility problem and applications to signal recovery1
A new algorithm for the minimax location problem with the closest distance1
Hadamard well-posedness for a set optimization problem with an infinite number of constraints1
A unified scheme for scalarization in set optimization1
Lower Stackelberg equilibria: from bilevel optimization to Stackelberg games1
One way to solve pessimistic bilevel optimization problems1
Strong convergence towards the minimum norm solution via temporal scaling and Tikhonov approximation of a first-order dynamical system1
Optimal algorithms for inverse obnoxious center location problems under the weighted Chebyshev and Hamming cost norms on networks1
Applying directional upper semi-regular convexificators in bilevel optimization1
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