Optimization

Papers
(The median citation count of Optimization is 0. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Simultaneous reconstruction of the shape and surface impedance from Cauchy data for the Helmholtz equation34
Inertial Tseng's extragradient algorithm for solving split equality common variational and fixed point problems20
Power utility maximization problem under rough stochastic local volatility models with continuous-time Markov chain approximation17
Strong duality of a conic optimization problem with a single hyperplane and two cone constraints17
Regularization of Brézis pseudomonotone variational inequalities in topological vector spaces16
Designing discrete-time control-based strategies for pursuit-evasion games on the plane16
Structure of the w -solution set of the tensor complementarity problem16
An inertial projection and contraction algorithm for pseudomonotone variational inequalities without Lipschitz continuity15
On the diagonal proximal point algorithms14
Second-order optimality conditions for bi-local solutions of bilevel programs13
Comments on the paper ‘A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations’12
An accelerated derivative-free method for solving large-scale nonlinear non-monotone equations11
Nonregular multiobjective problems: optimality conditions11
Weak solutions to a general class of history-dependent differential variational–hemivariational inequalities11
A note on optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem11
A study on various generalizations of generalized centers ( GC ) in Banach spaces11
Optimality conditions and DC-Dinkelbach-type algorithm for vector fractional programming problems with ratios of difference of convex functions10
Prof. Dr. rer. nat. habil. Rolf Klötzler 1931–202110
Convergence analysis of the generalized viscosity explicit method for solving variational inclusion problems in Banach spaces with applications10
Multi-composition rule of convex subdifferential calculus10
Existence of financial equilibria with real assets: a variational inequality approach10
New merit functions for multiobjective optimization and their properties10
Optimal control of sweeping processes in unmanned surface vehicle and nanoparticle modelling9
On almost regular mappings9
Using projected cutting planes in the extended cutting plane method9
Remarks on asymptotic regularity in A-metric spaces9
On directional subregularity of mappings9
Levitin–Polyak well-posedness of split multivalued variational inequalities9
Global convergence of dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization9
Preface8
An alternating inertial method for solving variational inequality problems on Hadamard manifolds8
A note on the paper ‘A global optimality result in probabilistic spaces using control function’8
LP-related representations of Cesàro and Abel limits of optimal value functions8
An approach of equilibrium problems based on selection theorems7
Decomposition dynamical systems for solving variational inequalities7
New fast proximal point algorithms for monotone inclusion problems with applications to image recovery7
Tseng-type splitting projection algorithms for equilibrium problems in Hilbert spaces7
Optimal algorithms for inverse obnoxious center location problems under the weighted Chebyshev and Hamming cost norms on networks7
Editorial7
A long-step second-order corrector interior point algorithm for linear optimization based on the algebraic equivalent transformation7
On two results in nonlinear elasticity obtained on the basis of triality theory6
Fixed points of regular set-valued mappings in quasi-metric spaces6
Nonregular mixed-constrained optimization problems6
Conic cancellation laws and some applications in set optimization6
Nash equilibrium and minimax theorems via variational tools of convex analysis6
Convergence analysis of new inertial method for the split common null point problem6
Portfolio reshaping under 1st-order stochastic dominance constraints by the exact penalty function methods6
Simultaneous perturbed minimization of a convergent sequence of functions6
Robust solutions for a class of quadratic optimization problems without classical convexity assumptions6
A new relaxed method for the split feasibility problem in Hilbert spaces6
Applying directional upper semi-regular convexificators in bilevel optimization6
A new filled function method for solving constrained global optimization problems6
Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion6
On the approximate controllability of second-order stochastic differential systems with hemivariational inequalities with damping6
Asymptotic regularity results for a viscosity version of Halpern-type iterations6
On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities6
Quantitative stability for stochastic tensor variational inequalities6
Lagrangian methods for optimal control problems governed by multivalued quasi-hemivariational inequalities5
Strong convergence theorems for solving pseudo-monotone variational inequality problems and applications5
Robust nonsmooth optimality conditions for multiobjective optimization problems with infinitely many uncertain constraints5
On approximate optimality conditions for robust multi-objective convex optimization problems5
Convergence analysis for solving equilibrium problems and split feasibility problems in Hilbert spaces5
Primal characterizations of stability of error bounds for semi-infinite convex constraint systems in Banach spaces5
A new approach to solving split equality problems in Hilbert spaces5
Error bounds revisited5
Robust projection twin support vector machine via DC programming5
Value at risk approach to producer's best response in an electricity market with uncertain demand5
Extremality of families of sets5
A global optimality result using coupled proximal contractions with stability analysis5
Refinements of Kusuoka representations on L5
Constraint qualifications in terms of convexificators for nonsmooth programming problems with mixed constraints5
Pseudo-differential and characterization of generalized convex functions on Riemannian manifolds5
One-step Bregman projection methods for solving variational inequalities in reflexive Banach spaces4
Some advances on constrained Markov decision processes in Borel spaces with random state-dependent discount factors4
Generalized left-localized Cayley parametrization for optimization with orthogonality constraints4
Convergence of solutions to nonlinear nonconvex optimal control problems4
Inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces4
Convergence rate of the relaxed CQ algorithm under Hölderian type error bound property4
Weighted maximum likelihood estimation for individual growth models4
Optimal sizing of the sediment replenishment capacity based on robust ergodic control of subordinator-driven dynamics4
A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces4
A class of differential hemivariational inequalities constrained on nonconvex star-shaped sets4
Weak convergence of inertial proximal algorithms with self adaptive stepsize for solving multivalued variational inequalities4
A generalization of the forward-reflected-backward splitting method for monotone inclusions4
Proximal point type algorithms with relaxed and inertial effects beyond convexity4
Proximal stochastic recursive momentum algorithm for nonsmooth nonconvex optimization problems4
Some notes on directional curvature of a convex body in ℝn4
Optimal social welfare policy within financial and life insurance markets4
Closedness under addition for families of quasimonotone operators4
Optimal policy for an inventory system with retailer's hybrid payment strategy and supplier's price discount facility under a supply chain management4
Strong convergence theorem for common zero points of inverse strongly monotone mappings and common fixed points of generalized demimetric mappings4
Quantitative stability for a class of stochastic vector linear variational inequalities4
Weak and strong convergence of a modified adaptive generalized Popov's algorithm for solving variational inequality problems4
Ekeland variational principles for vector equilibrium problems4
Special Issue ‘International Seminar on Optimization and Related Areas’3
Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints3
Semi-continuity of the solution maps of set-valued equilibrium problems with equilibrium constraints3
Levitin-Polyak well-posedness for vector optimization problems in linear spaces3
Optimal Neumann control of the wave equation with L 1 -control cost: the finite-time turnpike property3
Variational-like inclusion problems involving A -maximal m -relaxed η -accretive mappings in the sense of s3
The velocity tracking problem for Navier–Stokes equations with pointwise-integral control constraints in time-space3
Inertial splitting algorithms for nonlinear operators of pseudocontractive and accretive types3
Accelerated iterative splitting methods on Hadamard manifolds3
Necessary optimality conditions for a bilevel multiobjective problem in terms of approximations3
New second order sufficient optimality conditions for state constrained parabolic control problems3
Competitive secant (BFGS) methods based on modified secant relations for unconstrained optimization3
A modified projection algorithm for solving nonmonotone variational inequalities without Lipschitz continuity3
Hyperrectangular partition schemes for two-stage stochastic linear mixed integer programming problems3
The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems3
A multi-leader-follower game for energy demand-side management3
Comparative analysis of accelerated gradient algorithms for convex optimization: high and super resolution ODE approach3
On projected solutions for quasi equilibrium problems with non-self constraint map3
Proximal point method with Bregman distance for quasiconvex pseudomonotone equilibrium problems3
Sparse signal reconstruction via Hager–Zhang-type schemes for constrained system of nonlinear equations3
Focus on sufficient optimality conditions in D.C. vector optimization3
A hybrid method for solving non-convex min–max quadratic fractional problems under quadratic constraints3
Distributionally robust optimization with multivariate second-order stochastic dominance constraints with applications in portfolio optimization3
Perturbational duality in optimization under evenly convex assumptions3
Risk probability optimization of finite horizon piecewise deterministic Markov decision processes3
Optimal control results for fractional differential hemivariational inequalities of order r (1, 2)3
Error estimates for halfspace regularization of state constrained multiobjective elliptic control problems3
The upper semicontinuity and Hölder stability of optimal solution sets for semidefinite programming3
Editorial3
Multiblock ADMM for nonsmooth nonconvex optimization with nonlinear coupling constraints3
On constraint qualifications and optimality conditions for nonsmooth multiobjective semi-infinite programming problems with switching constraints3
On Douglas-Rachford splitting that generally fails to be a proximal mapping: a degenerate proximal point analysis2
Inertial relaxed CQ algorithm for split feasibility problems with non-Lipschitz gradient operators2
Preface2
A fast smoothing newton method for bilevel hyperparameter optimization for SVC with logistic loss2
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes2
Recursive utility optimization problem described by forward–backward stochastic differential inclusions2
Tseng's methods for inclusion problems on Hadamard manifolds2
A comparative study of different algorithms and scalarization techniques for constructing the Pareto front of multiobjective optimization problems2
Optimal investment strategy with constant absolute risk aversion utility under an extended CEV model2
Properties of the complementarity set for the cone of copositive matrices2
Necessary conditions for non-intersection of collections of sets2
Double inertial projection method for variational inequalities with quasi-monotonicity2
The variable metric three-operator algorithms for solving monotone inclusions2
A slight look on a new fixed-point problem2
Notes on the value function approach to multiobjective bilevel optimization2
Optimality conditions for mathematical programs with equilibrium constraints using directional convexificators2
Optimistic value models of saddle point equilibrium control problems for uncertain jump systems2
New optimality criteria for convex continuous-time problems of vector optimization2
New projection methods with inertial steps for variational inequalities2
A class of modulus-based matrix splitting methods for vertical linear complementarity problem2
Nonlinear metric regularity on fixed sets2
An active-set proximal quasi-Newton algorithm for ℓ1-regularized minimization over a sphere constraint2
One-parametric class of smoothing functions for (WSOCCP) and its Jacobian consistency2
Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors2
An augmented memoryless Davidon–Fletcher–Powell method based on the Dai–Liao approach2
On the generalized trace ratio problem2
An accelerated mirror descent algorithm for constrained nonconvex problems2
Convex analysis of minimal time and signed minimal time functions2
Lower semi-continuous augmented function for global optimization problems2
A new technique to improve the efficiency of projection based methods2
Bishop–Phelps cones given by an equation in Banach spaces2
Existence of solutions and well-posedness for set optimization problems with an application in the robust optimization2
Multiplier rules for Dini-derivatives in a topological vector space2
On the weakest constraint qualification for sharp local minimizers2
Strong convergence of a viscosity proximal point algorithm with new error sequences2
Projection and contraction method with double inertial steps for quasi-monotone variational inequalities2
A class of one-parameter filled functions with the same local minima as the objective function for global optimization problems2
MPCC: strong stability of weakly nondegenerate S-stationary points2
Unified approach to the inverse median location problem under the sum and the max objectives applying ordered median function2
Optimal DC pension investment with square-root factor processes under stochastic income and inflation risks2
An accelerate algorithm for the split equality common fixed-point problem of directed operators2
On regularization schemes for data-driven optimization based on Cressie–Read divergence and CVaR2
Some extensions of the operator splitting schemes based on Lagrangian and primal–dual: a unified proximal point analysis2
Total asymptotically nonexpansive mappings and generalized variational-like inclusion problems in semi-inner product spaces2
Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems2
Two modified adaptive cubic regularization algorithms by using the nonmonotone Armijo-type line search2
Convergence of a class of algorithms with the level-set subdifferential error bound2
LP well-posedness for multidimensional bilevel controlled variational inequalities2
Revisiting jointly firmly nonexpansive families of mappings2
A dynamical approach for the quantitative stability of parametric bilevel equilibrium problems and applications2
An inertial-type algorithm for a class of bilevel variational inequalities with the split variational inequality problem constraints2
A primal–dual penalty method via rounded weighted-ℓ1 Lagrangian duality2
Regularized nonmonotone submodular maximization2
Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems2
On applications of the calmness moduli for multifunctions to error bounds2
A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization2
A descent subgradient method using Mifflin's line search for nonsmooth nonconvex optimization2
A Bregman subgradient extragradient method with self-adaptive technique for solving variational inequalities in reflexive Banach spaces2
New representations of epigraphs of conjugate mappings and Lagrange, Fenchel–Lagrange duality for vector optimization problems2
Strong convergence results for variational inclusions, systems of variational inequalities and fixed point problems using composite viscosity implicit methods1
On inverse variational–hemivariational inequalities and its regularization1
Coupled system of fractional hemivariational inequalities with applications1
An approach to duality via image space analysis and applications to linear vector optimization problems1
The smoothing objective penalty function method for two-cardinality sparse constrained optimization problems1
Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality1
Inexact proximal point algorithm for quasiconvex optimization problems on Hadamard manifolds1
Well-posedness and existence for the weak multicriteria Nash equilibrium of multicriteria games1
Twice epi-differentiablity and parabolic regularity of a class of non-amenable functions1
An inertial Popov extragradient projection algorithm for solving multi-valued variational inequality problems1
Affinely adjustable robust optimization for radiation therapy under evolving data uncertainty via semi-definite programming1
A new filled function for global minimization and system of nonlinear equations1
New concepts of directional derivatives for set-valued maps and applications to set optimization1
Zero duality gap conditions via abstract convexity1
A contribution to best proximity point theory and an application to partial differential equation1
Equivalent conditions of null controllability for controlled stochastic relaxed system1
Study on convex optimization with least constraint violation under a general measure1
Risk-sensitive first passage stochastic games with unbounded costs1
Limit sets in global multiobjective optimization1
Tikhonov regularized iterative methods for nonlinear problems1
Fixed points and best proximity points for some general classes of multi-valued operators1
Products of functions with bounded Hess + complement1
On the componentwise boundedness away from zero of iterates generated by stabilized interior point methods1
Weak and strong convergence results for solving monotone variational inequalities in reflexive Banach spaces1
A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations1
S-Iteration inertial subgradient extragradient method for variational inequality and fixed point problems1
Local optimality for stationary points of group zero-norm regularized problems and equivalent surrogates1
Reachability and stabilizability for positive nonlinear systems on time scales1
Second-order optimality conditions for an optimal control problem governed by a regularized phase-field fracture propagation model1
Large-step algorithm for linear complementarity problem with new search direction1
A note on the K-epigraph1
A new dynamical system with self-adaptive dynamical stepsize for pseudomonotone mixed variational inequalities1
Fast hybrid method for solving variational inequalities beyond monotonicity in real Banach spaces1
Mangasarian-type second- and higher-order duality for mathematical programs with complementarity constraints1
The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal–dual Douglas–Rachford1
A dynamic simultaneous algorithm for solving split equality fixed point problems1
Two adaptive nonmonotone trust-region algorithms for solving multiobjective optimization problems1
New formulas for subdifferentials of perturbed distance functions1
A first-order method for solving bilevel convex optimization problems in Banach space1
On the Dai–Liao conjugate gradient method for vector optimization1
Optimization of road design via the use of a queueing model with transit and local users and processor sharing discipline1
A generalized conditional gradient method for multiobjective composite optimization problems1
An efficient algorithm for stochastic optimal control problems by means of a least-squares Monte-Carlo method1
New subgradient extragradient algorithm for solving variational inequalities in Hadamard manifold1
Tikhonov regularized second-order plus first-order primal-dual dynamical systems with asymptotically vanishing damping for linear equality constrained convex optimization problems1
Portfolio optimization under a minimax rule revisited1
Linear conic and two-stage stochastic optimization revisited via semi-infinite optimization1
A robust optimization method with successive linear programming for intensity-modulated radiation therapy1
Uncertain random mean–variance–skewness models for the portfolio optimization problem1
Proper efficiency in linear fractional vector optimization via Benson's characterization1
Lipschitz upper semicontinuity in linear optimization via local directional convexity1
Obituary for Georg J. Still (13 November 1951–15 December 2023)1
Necessary conditions for optimal control problems with sweeping systems and end point constraints1
Time-symmetric optimal stochastic control problems in space-time domains1
Equivalent resolvents of Douglas-Rachford splitting and other operator splitting algorithms: a unified degenerate proximal point analysis1
Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology1
An adaptive patch approximation algorithm for bicriteria convex mixed-integer problems1
A subspace inertial method for derivative-free nonlinear monotone equations1
Accelerated optimization through time-scale analysis of inertial dynamics with asymptotic vanishing and Hessian-driven dampings1
A fast primal-dual-active-jump method for minimization in BV((0,T) ℝd)1
Strict weak l -efficient solutions for nonconvex set optimization problems1
Directionally generalized differentiation and applications to set-valued optimization, multiobjective optimal control problems1
Generalized relative interiors and generalized convexity in infinite-dimensional spaces1
Viscosity extragradient algorithms with double inertial extrapolation steps for quasimonotone variational inequalities and fixed point problems1
An interior point approach for linear complementarity problem using new parametrized kernel function1
A relaxed projection method for solving bilevel variational inequality problems1
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