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 2022-05-01 to 2026-05-01.)
ArticleCitations
On Successive Approximations for Compact-Valued Nonexpansive Mappings32
Erosion and Dilation of Convex Cones12
Generalized Twice Differentiability and Quadratic Bundles in Second-Order Variational Analysis12
Variational Analysis of a Nonconvex and Nonsmooth Optimization Problem: An Introduction11
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators10
Primal and Dual Characterizations for Farkas Type Lemmas in Terms of Closedness Criteria9
Moreau Envelope and Proximal-Point Methods Under the Lens of High-Order Regularization8
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming7
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints7
Optimal Trajectories and the Neoclassical Calculus of Variations6
Exponential Penalty Functions for Optimal Control Problems with Constraints: Necessary Conditions of Optimality6
Random Lift of Set Valued Maps and Applications to Multiagent Dynamics6
Tilt Stability of Ky-Fan $\kappa $-Norm Composite Optimization6
A Fully Relaxed Tseng’s Splitting Method5
Extremality of Families of Sets and Set-Valued Optimization5
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
Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization4
Dynamics of Nonautomous Impulsive Multivalued Processes4
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces4
Approximate Stationarity in Disjunctive Optimization: Concepts, Qualification Conditions, and Application to MPCCs4
On Chaotic Sets of Solutions for a Class of Differential Inclusions in $\mathbb{R}^{2}$4
Rosen Games on Banach Spaces: Quasi-Convex Case4
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces4
Characterization of Strong Local Maximal Monotonicity Through Graphical Derivatives3
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions3
Relaxation Methods for Pessimistic Bilevel Optimization3
Scholtes Relaxation Method for Pessimistic Bilevel Optimization3
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells3
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems3
Steepest Geometric Descent for Regularized Quasiconvex Functions3
The Tangent Cone to the Real Determinantal Variety: Various Expressions and a Proof3
On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions3
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma3
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications3
Variational Analysis of Unbounded and Discontinuous Generalized Eigenvalue Functions with Application to Topology Optimization2
Lipschitz Stability in Convex Optimization2
Sensitivity Analysis in Parametric Convex Vector Optimization2
Calm Local Optimality for Nonconvex-Nonconcave Minimax Problems2
Parametrized Families of Resolvent Compositions2
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind2
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity2
The Boosted DC Algorithm for Linearly Constrained DC Programming2
Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information2
Set Valued Equilibrium Problems Without Linear Structure2
Existence of Solutions for a Differential System Involving Doubly Nonlinear Inclusions2
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