OOIR: Observatory of International Research

Papers

(The median citation count of Set-Valued and Variational Analysis is 1. 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 2021-08-01 to 2025-08-01.)

Article	Citations
On Successive Approximations for Compact-Valued Nonexpansive Mappings	28
Softening Bilevel Problems Via Two-scale Gibbs Measures	15
On the Continuity of the Tangent Cone to the Determinantal Variety	11
Variational Analysis of a Nonconvex and Nonsmooth Optimization Problem: An Introduction	11
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators	10
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints	8
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming	7
Random Lift of Set Valued Maps and Applications to Multiagent Dynamics	6
Exponential Penalty Functions for Optimal Control Problems with Constraints: Necessary Conditions of Optimality	6
Extremality of Families of Sets and Set-Valued Optimization	6
Optimal Trajectories and the Neoclassical Calculus of Variations	6
Characterizations of Some Transversality-Type Properties	5
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces	5
Generalized Differentiation of a Class of Normal Cone Operators and Sensitivity of Optimal Control Problems	5
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces	5
Dynamics of Nonautomous Impulsive Multivalued Processes	5
Rosen Games on Banach Spaces: Quasi-Convex Case	5
Scholtes Relaxation Method for Pessimistic Bilevel Optimization	4
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells	4
Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces	4
Stability of Minimization Problems and the Error Bound Condition	4
On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions	4
Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy	3
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications	3
On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems	3

The Projection onto the Cross	3
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma	3
Regularity and Stability for a Convex Feasibility Problem	3
Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives	3
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions	3
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems	3
The Boosted DC Algorithm for Linearly Constrained DC Programming	2
Optimal Control and Directional Differentiability for Elliptic Quasi-Variational Inequalities	2
Parametrized Families of Resolvent Compositions	2
Lipschitz Stability in Convex Optimization	2
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity	2
Non-Linear Operators and Differentiability of Lipschitz Functions	2
Vector Optimization with Variable Domination Structure: A Unifying Approach	2
Steepest Geometric Descent for Regularized Quasiconvex Functions	2
Duality Between Multi-Output Production Correspondences and Cost Functions	2
Variational Analysis of Unbounded and Discontinuous Generalized Eigenvalue Functions with Application to Topology Optimization	2
Calm Local Optimality for Nonconvex-Nonconcave Minimax Problems	2
Existence of Solutions for a Differential System Involving Doubly Nonlinear Inclusions	2
A Strong Law of Large Numbers for Random Monotone Operators	2
Set Valued Equilibrium Problems Without Linear Structure	2
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm	2
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind	2
Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information	2
Sensitivity Analysis in Parametric Convex Vector Optimization	2
Impulsive Input-to-State Stabilization of an Ensemble	2
Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions	2
Calmness of the Solution Mapping of Navier-Stokes Problems Modeled by Hemivariational Inequalities	1
Distance Function Associated to a Prox-regular set	1
Sequential M-Stationarity Conditions for General Optimization Problems	1
Conservative Parametric Optimality and the Ridge Method for Tame Min-Max Problems	1
Minimizing Curves in Prox-regular Subsets of Riemannian Manifolds	1
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	1
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema	1
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces	1
Set Convergences via Bornology	1
Sensitivity Analysis of the Set of Sustainable Thresholds	1
Superquantiles at Work: Machine Learning Applications and Efficient Subgradient Computation	1
Inertial Krasnoselskii-Mann Iterations	1
Approximation of Chattering Arcs in Optimal Control Problems Governed by Mono-Input Affine Control Systems	1
BV Sweeping Process Involving Prox-Regular Sets and a Composed Perturbation	1
Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings	1
Estimates of Generalized Hessians for Optimal Value Functions in Mathematical Programming	1
Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces	1
Rectifiable Curves in Proximally Smooth Sets	1
Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness	1
A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process	1
Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators	1
Correction to: Necessary Conditions in Infinite-Horizon Control Problems That Need No Asymptotic Assumptions	1
Caristi-Type Conditions in Constraint Minimisation of Mappings in Metric and Partially Ordered Spaces	1
Superdifferential Analysis of the Takagi-Van Der Waerden Functions	1

Projectional Coderivatives and Calculus Rules	1
On the Strong Convergence of Forward-Backward Splitting in Reconstructing Jointly Sparse Signals	1
Measuring the Stability. A Paradigmatic Problem in Optimization	1
Linear Convergence of the Derivative-Free Proximal Bundle Method on Convex Nonsmooth Functions, with Application to the Derivative-Free $\mathcal{VU}$-Algorithm	1
Convex Robust Sum Optimization Problems with Conic and Set Constraints: Duality and Optimality Conditions Revisited	1
Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence	1
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities	1
A Mean Value Theorem for Tangentially Convex Functions	1
Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions	1
Complexity Analysis Based on Tuning the Viscosity Parameter of the Su-Boyd-Candès Inertial Gradient Dynamics	1
A Note on the Hausdorff Distance Between Norm Balls and Their Linear Maps	1