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 2021-09-01 to 2025-09-01.)
ArticleCitations
Value at risk approach to producer's best response in an electricity market with uncertain demand39
Robust projection twin support vector machine via DC programming26
Convergence rate of the relaxed CQ algorithm under Hölderian type error bound property24
Quantitative stability for a class of stochastic vector linear variational inequalities23
Existence of financial equilibria with real assets: a variational inequality approach22
A note on the paper ‘A global optimality result in probabilistic spaces using control function’22
Primal characterizations of stability of error bounds for semi-infinite convex constraint systems in Banach spaces21
Strong duality of a conic optimization problem with a single hyperplane and two cone constraints18
A long-step second-order corrector interior point algorithm for linear optimization based on the algebraic equivalent transformation16
Levitin–Polyak well-posedness of split multivalued variational inequalities16
A new filled function method for solving constrained global optimization problems16
Characterizations of robustness in vector optimization w.r.t. variable domination structures under uncertainty via image space analysis14
Tseng-type splitting projection algorithms for equilibrium problems in Hilbert spaces14
Quasi-variational inequalities on product spaces and its applications to stochastic equilibrium problems13
Stability of nonhomogeneous split equality and split feasibility problems with possibly nonconvex constraint sets12
A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces12
Radial epiderivative based line search methods in nonconvex and nonsmooth box-constrained optimization11
New fast proximal point algorithms for monotone inclusion problems with applications to image recovery11
Stability of solutions to set-valued equilibrium problems via scalarization11
Two modified adaptive cubic regularization algorithms by using the nonmonotone Armijo-type line search10
MPCC: strong stability of weakly nondegenerate S-stationary points10
Alternative KKT conditions for (semi)infinite convex optimization10
Optimality conditions for mathematical programs with equilibrium constraints using directional convexificators10
The upper semicontinuity and Hölder stability of optimal solution sets for semidefinite programming10
On projected solutions for quasi equilibrium problems with non-self constraint map10
Optimal synthesis for a class of L optimal control problems in the plane with L 10
A robust optimization method with successive linear programming for intensity-modulated radiation therapy10
Risk-sensitive first passage stochastic games with unbounded costs10
A fast smoothing newton method for bilevel hyperparameter optimization for SVC with logistic loss10
Optimality conditions for group sparsity constrained optimization problems with equality and inequality constraints9
Extragradient type projection algorithm for solving quasimonotone variational inequalities9
A multi-leader-follower game for energy demand-side management9
Second-order optimality conditions for locally Lipschitz vector optimization problems9
An SDE perspective on stochastic inertial gradient dynamics with time-dependent viscosity and Hessian-driven damping8
Obituary for Georg J. Still (13 November 1951–15 December 2023)8
Multiobjective optimal control problems. Stationary Navier–Stokes equations8
Optimization of road design via the use of a queueing model with transit and local users and processor sharing discipline8
Finite horizon semi-Markov games with the expected-positive-deviation criterion8
Obituary8
Strong convergence of one-step inertial algorithm for a class of bilevel variational inequalities8
Affinely adjustable robust optimization for radiation therapy under evolving data uncertainty via semi-definite programming8
Necessary conditions for optimal control problems with sweeping systems and end point constraints8
Large-step algorithm for linear complementarity problem with new search direction8
A new black box method for monotone nonlinear equations7
Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness7
Linearized splitting algorithm with inertial extrapolation for solving split variational inclusion problem and applications7
Training neural networks from an ergodic perspective7
Inexact proximal point algorithm for quasiconvex optimization problems on Hadamard manifolds7
Two inertial-type algorithms for solving the split feasibility problem7
Obituary for Prof. Dr. habil. Alfred Göpfert7
A proximal forward–reflected method with momentum effects for solving mixed variational inequality problems7
Mangasarian-type second- and higher-order duality for mathematical programs with complementarity constraints7
Feasibility problems via paramonotone operators in a convex setting7
A Lie-bracket-based notion of stabilizing feedback in optimal control6
Technical note on the existence of solutions for generalized symmetric set-valued quasi-equilibrium problems utilizing improvement set6
On relationships between vector optimization problems and vector variational inequalities using directional convexificators6
Stackelberg strategy on a degenerate parabolic equation with missing data6
An inexact proximal linearized DC algorithm with provably terminating inner loop6
On e-convex functions and e-subdifferentials in locally convex spaces6
Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems6
A special issue dedicated to the Autumn school on equilibrium problems and minimax inequalities, ASEM19, 25–26 September 2019, El Jadida, Morocco6
Fast continuous-time approach for non-smooth convex minimization combining a constant damping coefficient, time scaling coefficient and Tikhonov regularization6
Modified subgradient extragradient method for solution of split variational inequality problem with application to generalized Nash equilibrium problem6
Generalized Hukuhara directional differentiability of interval-valued functions on Riemannian manifolds6
Applying tangential subdifferentials in bilevel optimization6
A new improved convex underestimator for univariate functions in global optimization6
Moderate deviations for stochastic variational inequalities5
A stochastic variance reduction algorithm with Bregman distances for structured composite problems5
Necessary and sufficient optimality conditions for nonsmooth nonconvex generalized Nash equilibrium problems5
Proximal point methods with possible unbounded errors for monotone operators in Hadamard spaces5
An extended local principle of fixed points for weakly contractive set-valued mappings5
Properties of generalized polyhedral convex multifunctions5
Subsampled cubic regularization method for finite-sum minimization5
Local solutions of the multi-source Weber problem5
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
A new nonmonotone line search method for nonsmooth nonconvex optimization5
Optimal control for a nonlinear stochastic PDE model of cancer growth5
Viscosity-regularization iterative methods for solving equilibrium problems in Hilbert space5
A note on the approximate controllability of damped second-order differential inclusions with state-dependent delay5
New accelerated splitting algorithm for monotone inclusion problems5
Inertial subgradient projection techniques for solving a class of bilevel equilibrium problems5
On equivalent representations and properties of faces of the cone of copositive matrices5
Optimality conditions for bilevel programmes via Moreau envelope reformulation*5
Dual Kuhn-Tucker necessary conditions for strict minima of order two for nonsmooth vector optimization problems with inequality and equality constraints5
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
Some notes on directional curvature of a convex body in ℝn5
Directional derivatives in set optimization with the set order defined by Minkowski difference5
Optimal control of a queueing system5
Revisiting the fitting of the Nelson–Siegel and Svensson models5
Critical point theory for sparse recovery5
Nonregular multiobjective problems: optimality conditions4
A global optimality result using coupled proximal contractions with stability analysis4
A novel modified Liu-Storey nonlinear conjugate gradient method for solving vector optimization problems4
On Douglas-Rachford splitting that generally fails to be a proximal mapping: a degenerate proximal point analysis4
Robust nonsmooth optimality conditions for multiobjective optimization problems with infinitely many uncertain constraints4
Weak and strong convergence of a modified adaptive generalized Popov's algorithm for solving variational inequality problems4
Stable vector equilibrium problem with mixed constraints and characterizations for efficiency4
Nash equilibrium and minimax theorems via variational tools of convex analysis4
A note on optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem4
Asymptotic regularity results for a viscosity version of Halpern-type iterations4
Solving equilibrium and fixed-point problems in Hilbert spaces: a new strongly convergent inertial subgradient extragradient method4
Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints4
Linear convergence of resolvent splitting with minimal lifting and its application to a primal–dual algorithm4
Second-order optimality conditions for bi-local solutions of bilevel programs4
Optimality conditions and DC-Dinkelbach-type algorithm for vector fractional programming problems with ratios of difference of convex functions4
New merit functions for multiobjective optimization and their properties4
Joint replenishment problem meets scheduling: algorithms for the maximum flow time objective4
Optimal control of fractional Sturm–Liouville wave equations on a star graph3
Second-order Karush/Kuhn–Tucker conditions and duality for constrained multiobjective optimization problems3
New gradient methods with adaptive stepsizes by approximate models3
A subspace inertial method for derivative-free nonlinear monotone equations3
A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization3
Optimal control results for fractional differential hemivariational inequalities of order r (1, 2)3
A fast primal-dual-active-jump method for minimization in BV((0,T) ℝd)3
Optimal DC pension investment with square-root factor processes under stochastic income and inflation risks3
Comparative analysis of accelerated gradient algorithms for convex optimization: high and super resolution ODE approach3
A viscosity-type scheme for optimization problems in Hadamard spaces with applications3
Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors3
A type of minimal and maximal point theorem in locally convex product cones3
Linear conic and two-stage stochastic optimization revisited via semi-infinite optimization3
A study of multivalued variational inequalities via horizon maps and graphical convergence3
New strong convergence analysis for variational inequalities and fixed point problems3
Minimally fine exhausters3
Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems3
On higher-order strong KKT optimality conditions for multiobjective semi-infinite programming problems3
A comparative study of different algorithms and scalarization techniques for constructing the Pareto front of multiobjective optimization problems3
Nonlinear robust distribution planning model for perishable products based on sustainable development3
On regularization schemes for data-driven optimization based on Cressie–Read divergence and CVaR3
On the weakest constraint qualification for sharp local minimizers3
The funnel tree algorithm for finding shortest paths on polyhedral surfaces3
A new technique to improve the efficiency of projection based methods3
An efficient algorithm for stochastic optimal control problems by means of a least-squares Monte-Carlo method3
Some well-posedness equivalent results for a generalized split variational-hemivariational inequality3
A new coherent multivariate average-value-at-risk3
Fixed points and best proximity points for some general classes of multi-valued operators3
Optimal control and zero-sum game subject to multifactor uncertain random systems with jump3
Optimal robust positive invariant ellipsoidal set for discrete-time linear system subject to ellipsoidal disturbance set3
New formulas for subdifferentials of perturbed distance functions3
Necessary optimality conditions for a bilevel multiobjective problem in terms of approximations3
New second order sufficient optimality conditions for state constrained parabolic control problems3
Lower semi-continuous augmented function for global optimization problems3
Optimal Neumann control of the wave equation with L 1 -control cost: the finite-time turnpike property3
Optimistic value models of saddle point equilibrium control problems for uncertain jump systems3
The smoothing objective penalty function method for two-cardinality sparse constrained optimization problems3
New results on egalitarian values for games with a priori unions2
Optimality and duality for approximate solutions of multiobjective optimization problems involving intersection of closed sets2
On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives2
First- and second-order optimality conditions for the control of infinite horizon Navier–Stokes equations2
The horizontal tensor complementarity problem2
On duality for nonconvex minimization problems within the framework of abstract convexity2
Weak and strong formulations for a Timoshenko plate with crack indented by wedge and subjected to non-penetration conditions2
A derivative-free modified tensor method with curvilinear linesearch for unconstrained nonlinear programming2
Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces2
Competitive secant (BFGS) methods based on modified secant relations for unconstrained optimization2
Generalized well-posedness results for a class of new mixed variational inequalities2
An accelerated derivative-free method for solving large-scale nonlinear non-monotone equations2
New fixed point iteration and its rate of convergence2
Stability of the approximate solution sets for set optimization problems with the perturbations of feasible set and objective mapping2
On a hemivariational inequality with non-monotone operator2
Globalized distributionally robust optimization problems under the moment-based framework2
Power utility maximization problem under rough stochastic local volatility models with continuous-time Markov chain approximation2
Robust bilevel optimization: algorithms, complexity and application2
Approximation of the HJB viscosity solutions in differential inclusion optimal control with state constraint2
Noncoercive convex sweeping processes with velocity constraints2
Finite-time attractor optimization based on differential lagrange multipliers2
Optimality analysis on ℓ 0/1 -sparsity regularized nonsmooth optimization2
Special issue dedicated to the 80th birthday of Professor Alexander Rubinov2
Algorithmic schemes for non-smooth simple bilevel programming problem and simple MPEC problem2
Observer path planning for maximum information2
A class of time-optimal feedback control for fractional neutral evolution hemivariational inequalities with fixed delay2
An approximation algorithm for solving a split problem of fixed point and variational inclusion2
Global convergence of dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization2
Pareto efficiency in robust optimization: simplification from a new perspective2
Inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces2
Generalized Fejér monotone sequences and their finitary content2
Reaction-diffusion systems in annular domains: source stability estimates with boundary observations2
Weighted maximum likelihood estimation for individual growth models2
A cyclic iterative method for solving the system of split equality zero-point problems2
Profit optimization of stochastically fluctuating populations under harvesting: the effects of Allee effects2
An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses2
Semigroup-based theoretical prospects on optimal control of stochastic second-order Gurtin–Pipkin integro-differential equations2
Terminal wealth maximization under drift uncertainty2
Ekeland's variational principle for weighted set relation with set perturbation and application to game theory2
Forward-backward-half forward splitting algorithm with deviations2
On Kahan's automatic step-size control and an anadromic gradient descent iteration2
A game theoretical approach for finding near-optimal solutions of an optimization problem2
Enhancing convergence speed in sparse signal denoising: the APFISTA algorithm2
Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity2
The solvability of weighted complementarity problems and a smoothing Newton algorithm under the local error bound2
Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions2
Tikhonov regularization for a class of generalized hemivariational inequality in Banach spaces2
Biobjective optimization problems on matroids with binary costs2
Solution path algorithm for distributionally robust regression2
Simultaneous reconstruction of the shape and surface impedance from Cauchy data for the Helmholtz equation2
Fractional stochastic hemivariational inequalities of higher order: stability and optimal control2
Inertial method for solving split equality Hammerstein-type equation problems in reflexive Banach spaces2
Approximate solution of a zero-sum linear-quadratic differential game by the auxiliary parameter method: analytical/numerical study2
Optimal consumption, investment and life-insurance purchase under a stochastically fluctuating economy2
Splitting algorithms for solving state-dependent maximal monotone inclusion problems2
On Fenchel c -conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality2
New approximation methods for solving quasi-monotone variational inequalities2
A novel approach to pessimistic bilevel problems. An application to the rank pricing problem with ties2
Set-valued optimization in variable preference structures with new variants of generalized convexity2
Quadratic maximization of reachable values of stable discrete-time affine systems2
Stochastic Bregman extragradient algorithm with line search for stochastic mixed variational inequalities1
Set-valued equilibrium problems based on the concept of null set with applications1
Extragradient-type algorithm for a class of bilevel variational inequalities with the split common fixed-point problem constraint with multiple output sets1
A differentiable path-following method to compute Nash equilibria in robust normal-form games1
A dynamical system with fixed-time convergence for solving the split feasibility problem and applications to signal recovery1
Weak set-equilibrium problems: existence and stability conditions1
Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping1
Characterization of certain fractional-type set-valued functions1
A unified scheme for scalarization in set optimization1
Stability analysis of perturbed set-valued equilibrium problem1
Optimal sizing of the sediment replenishment capacity based on robust ergodic control of subordinator-driven dynamics1
One way to solve pessimistic bilevel optimization problems1
On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds1
The minimizer of the sum of two strongly convex functions1
Prediction of breast cancer through fast optimization techniques applied to machine learning1
Levitin–Polyak well-posedness of stochastic variational inequalities and applications to a random spatial price equilibrium problem1
A novel single-parameter continuously differentiable filled function for global optimization1
Lower Stackelberg equilibria: from bilevel optimization to Stackelberg games1
Optimizing generalized linear fractional program using the image space branch-reduction-bound scheme1
Relaxation approaches for nonlinear sparse optimization problems1
Existence of solutions for polyhedral convex set optimization problems1
Forward-backward-forward algorithm with golden ratio momentum1
Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm1
Segmented pseudometrics and four-point Fermat-Torricelli problems1
On directional subregularity of mappings1
Convergence of solutions to nonlinear nonconvex optimal control problems1
Special Issue ‘International Seminar on Optimization and Related Areas’1
Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices1
On the sum rules and maximality of generalized subdifferentials1
Minimization of the expected first-passage area for a one-dimensional diffusion process1
Local convergence of augmented Lagrangian methods for composite optimization1
Exact augmented Lagrangians for constrained optimization problems in Hilbert spaces I: theory1
Density and connectedness of optimal points with respect to improvement sets1
Feasible rounding approaches for equality constrained mixed-integer optimization problems1
A note on duality in reverse convex optimization1
Hadamard well-posedness for a set optimization problem with an infinite number of constraints1
A note on jointly convex Nash games1
A new iterative method for solving the multiple-set split variational inequality problem in Hilbert spaces1
Errata corrige on farthest Bregman Voronoi cells1
Generalized left-localized Cayley parametrization for optimization with orthogonality constraints1
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 stability of iteration processes convergent to stationary points of semigroups of nonlinear operators in metric spaces1
On the pointwise and global well-posedness for nonconvex set optimization problems1
Saturation phenomena of a nonlocal eigenvalue problem: the Riemannian case1
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