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 2021-06-01 to 2025-06-01.)
ArticleCitations
Conservative and Semismooth Derivatives are Equivalent for Semialgebraic Maps26
On Successive Approximations for Compact-Valued Nonexpansive Mappings14
Softening Bilevel Problems Via Two-scale Gibbs Measures14
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators9
Variational Analysis of a Nonconvex and Nonsmooth Optimization Problem: An Introduction9
On the Continuity of the Tangent Cone to the Determinantal Variety9
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming7
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints7
Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme7
Algebraic Approach to Duality in Optimization and Applications7
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces6
Optimal Trajectories and the Neoclassical Calculus of Variations6
First-Order Frameworks for Continuous Newton-like Dynamics Governed by Maximally Monotone Operators6
Random Lift of Set Valued Maps and Applications to Multiagent Dynamics6
On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions5
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces5
Generalized Differentiation of a Class of Normal Cone Operators and Sensitivity of Optimal Control Problems5
Rosen Games on Banach Spaces: Quasi-Convex Case5
Scholtes Relaxation Method for Pessimistic Bilevel Optimization5
Dynamics of Nonautomous Impulsive Multivalued Processes4
Preface to “Optimization, Convex and Variational Analysis”4
Characterizations of Some Transversality-Type Properties4
Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces4
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions3
Regularity and Stability for a Convex Feasibility Problem3
Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives3
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells3
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications3
On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems3
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems3
Stability of Minimization Problems and the Error Bound Condition3
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma3
Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy3
Convex Robust Sum Optimization Problems with Conic and Set Constraints: Duality and Optimality Conditions Revisited2
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity2
Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information2
Duality Between Multi-Output Production Correspondences and Cost Functions2
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm2
Set Valued Equilibrium Problems Without Linear Structure2
Calm Local Optimality for Nonconvex-Nonconcave Minimax Problems2
Non-Linear Operators and Differentiability of Lipschitz Functions2
Vector Optimization with Variable Domination Structure: A Unifying Approach2
Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness2
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind2
Second-order Optimality Conditions for Mathematical Program with Semidefinite Cone Complementarity Constraints and Applications2
Steepest Geometric Descent for Regularized Quasiconvex Functions2
Optimal Control and Directional Differentiability for Elliptic Quasi-Variational Inequalities2
Existence of Solutions for a Differential System Involving Doubly Nonlinear Inclusions2
A Strong Law of Large Numbers for Random Monotone Operators2
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities2
A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process2
Parametrized Families of Resolvent Compositions2
The Projection onto the Cross2
The Boosted DC Algorithm for Linearly Constrained DC Programming2
Sensitivity Analysis in Parametric Convex Vector Optimization2
Impulsive Input-to-State Stabilization of an Ensemble2
Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions2
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