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 2022-08-01 to 2026-08-01.)

Article	Citations
On Successive Approximations for Compact-Valued Nonexpansive Mappings	14
Erosion and Dilation of Convex Cones	12
Variational Analysis of a Nonconvex and Nonsmooth Optimization Problem: An Introduction	11
Generalized Twice Differentiability and Quadratic Bundles in Second-Order Variational Analysis	10
Primal and Dual Characterizations for Farkas Type Lemmas in Terms of Closedness Criteria	9
Perturbation Method in Musielak-Orlicz Sequence Spaces	8
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators	8
Moreau Envelope and Proximal-Point Methods Under the Lens of High-Order Regularization	7
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints	7
A Fully Relaxed Tseng’s Splitting Method	6
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming	6
Optimal Trajectories and the Neoclassical Calculus of Variations	6
Extremality of Families of Sets and Set-Valued Optimization	6
Exponential Penalty Functions for Optimal Control Problems with Constraints: Necessary Conditions of Optimality	6
Tilt Stability of Ky-Fan $\kappa $-Norm Composite Optimization	5
Rosen Games on Banach Spaces: Quasi-Convex Case	5
Approximate Stationarity in Disjunctive Optimization: Concepts, Qualification Conditions, and Application to MPCCs	5
Random Lift of Set Valued Maps and Applications to Multiagent Dynamics	5
The Role of Variational Analysis in Optimization and Control	4
Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces	4
Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization	4
The Tangent Cone to the Real Determinantal Variety: Various Expressions and a Proof	4
On Chaotic Sets of Solutions for a Class of Differential Inclusions in $\mathbb{R}^{2}$	4
Bregman Level Proximal Subdifferentials and New Characterizations of Bregman Proximal Operators	4
Dynamics of Nonautomous Impulsive Multivalued Processes	4

Generalized Differentiation of a Class of Normal Cone Operators and Sensitivity of Optimal Control Problems	4
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces	4
Scholtes Relaxation Method for Pessimistic Bilevel Optimization	3
Characterization of Strong Local Maximal Monotonicity Through Graphical Derivatives	3
Relaxation Methods for Pessimistic Bilevel Optimization	3
On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions	3
Steepest Geometric Descent for Regularized Quasiconvex Functions	3
The Boosted DC Algorithm for Linearly Constrained DC Programming	3
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells	3
Diametral Santaló Points of Polyhedral Convex Bodies	3
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems	3
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications	3
Sensitivity Analysis in Parametric Convex Vector Optimization	2
Impulsive Input-to-State Stabilization of an Ensemble	2
A Strong Law of Large Numbers for Random Monotone Operators	2
Variational Analysis of Unbounded and Discontinuous Generalized Eigenvalue Functions with Application to Topology Optimization	2
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind	2
Vector Optimization with Variable Domination Structure: A Unifying Approach	2
Computation of Optimal Control Problems via Variational Evolution	2
Existence of Solutions for a Differential System Involving Doubly Nonlinear Inclusions	2
Set Valued Equilibrium Problems Without Linear Structure	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
Calm Local Optimality for Nonconvex-Nonconcave Minimax Problems	2
Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information	2
Geometric Stability Analysis for Differential Inclusions Governed by Maximally Monotone Operators	1
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
Compact R-Continuity with Applications to Solving Inclusions and Convergence of Algorithms	1
Volterra Integral Perturbation to Evolution Problems Involving Time-Dependent Maximal Monotone Operators	1
A Note on the Hausdorff Distance Between Norm Balls and Their Linear Maps	1
Projectional Coderivatives and Calculus Rules	1
BV Sweeping Process Involving Prox-Regular Sets and a Composed Perturbation	1
Partial Subdifferentials in a Smooth Set	1
Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces	1
On Semismooth∗ Path-Following Method for Parametric Inclusions	1
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema	1
A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process	1
Conservative Parametric Optimality and the Ridge Method for Tame Min-Max Problems	1
Robust and Parametric Basins of Attraction for Inexact Iteration Mappings in Numerical Minimization	1
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities	1
Sequential M-Stationarity Conditions for General Optimization Problems	1
Inverse Problems for Evolutionary Hemi-Quasi -Variational Inequalities with Applications	1
A Distributed Iterative Tikhonov Method for Networked Monotone Stochastic and Hierarchical Aggregative Games	1
Set Convergences via Bornology	1
Optimal Control of Systems with Backlash: The Case of Inelastic Impact	1
New Types of Convergence for Unbounded Star-Shaped Sets	1
Approximation of Chattering Arcs in Optimal Control Problems Governed by Mono-Input Affine Control Systems	1

Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness	1
Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions	1
On Strict Proto-Differentiability of Set-Valued Mappings	1
Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization	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
Generalized Moreau-Rockafellar Type Theorem for Cone Paraconvex Multifunctions	1
Inertial Krasnoselskii-Mann Iterations	1
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application	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
A Mean Value Theorem for Tangentially Convex Functions	1
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces	1
Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence	1
An Implicit Approach to Optimal Control of Sweeping Processes: Theory and Applications	1