Set-Valued and Variational Analysis

Papers
(The TQCC of Set-Valued and Variational Analysis is 2. 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 2021-11-01 to 2025-11-01.)
ArticleCitations
On Successive Approximations for Compact-Valued Nonexpansive Mappings30
Erosion and Dilation of Convex Cones15
Variational Analysis of a Nonconvex and Nonsmooth Optimization Problem: An Introduction12
On the Continuity of the Tangent Cone to the Determinantal Variety11
Primal and Dual Characterizations for Farkas Type Lemmas in Terms of Closedness Criteria11
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators8
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints8
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming7
Optimal Trajectories and the Neoclassical Calculus of Variations6
Random Lift of Set Valued Maps and Applications to Multiagent Dynamics6
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces6
Tilt Stability of Ky-Fan $\kappa $-Norm Composite Optimization6
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces6
Exponential Penalty Functions for Optimal Control Problems with Constraints: Necessary Conditions of Optimality6
Extremality of Families of Sets and Set-Valued Optimization6
Rosen Games on Banach Spaces: Quasi-Convex Case4
On Chaotic Sets of Solutions for a Class of Differential Inclusions in $\mathbb{R}^{2}$4
Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces4
Generalized Differentiation of a Class of Normal Cone Operators and Sensitivity of Optimal Control Problems4
On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions4
Dynamics of Nonautomous Impulsive Multivalued Processes4
Characterizations of Some Transversality-Type Properties4
Scholtes Relaxation Method for Pessimistic Bilevel Optimization4
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells4
The Boosted DC Algorithm for Linearly Constrained DC Programming3
Stability of Minimization Problems and the Error Bound Condition3
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions3
Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives3
The Projection onto the Cross3
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications3
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems3
Steepest Geometric Descent for Regularized Quasiconvex Functions3
Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy3
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma3
Characterization of Strong Local Maximal Monotonicity Through Graphical Derivatives3
Calm Local Optimality for Nonconvex-Nonconcave Minimax Problems3
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity2
Parametrized Families of Resolvent Compositions2
Optimal Control and Directional Differentiability for Elliptic Quasi-Variational Inequalities2
Impulsive Input-to-State Stabilization of an Ensemble2
Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization2
Convex Robust Sum Optimization Problems with Conic and Set Constraints: Duality and Optimality Conditions Revisited2
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions2
Variational Analysis of Unbounded and Discontinuous Generalized Eigenvalue Functions with Application to Topology Optimization2
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind2
Set Valued Equilibrium Problems Without Linear Structure2
A Strong Law of Large Numbers for Random Monotone Operators2
Vector Optimization with Variable Domination Structure: A Unifying Approach2
Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness2
Existence of Solutions for a Differential System Involving Doubly Nonlinear Inclusions2
Lipschitz Stability in Convex Optimization2
Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information2
Sensitivity Analysis in Parametric Convex Vector Optimization2
Non-Linear Operators and Differentiability of Lipschitz Functions2
Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions2
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema2
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