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 2021-11-01 to 2025-11-01.)

Article	Citations
On Successive Approximations for Compact-Valued Nonexpansive Mappings	30
Erosion and Dilation of Convex Cones	15
Variational Analysis of a Nonconvex and Nonsmooth Optimization Problem: An Introduction	12
On the Continuity of the Tangent Cone to the Determinantal Variety	11
Primal and Dual Characterizations for Farkas Type Lemmas in Terms of Closedness Criteria	11
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators	8
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
Optimal Trajectories and the Neoclassical Calculus of Variations	6
Random Lift of Set Valued Maps and Applications to Multiagent Dynamics	6
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces	6
Tilt Stability of Ky-Fan $\kappa $-Norm Composite Optimization	6
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces	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
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 Spaces	4
Generalized Differentiation of a Class of Normal Cone Operators and Sensitivity of Optimal Control Problems	4
On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions	4
Dynamics of Nonautomous Impulsive Multivalued Processes	4
Characterizations of Some Transversality-Type Properties	4
Scholtes Relaxation Method for Pessimistic Bilevel Optimization	4
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells	4
Rosen Games on Banach Spaces: Quasi-Convex Case	4
Stability of Minimization Problems and the Error Bound Condition	3

On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions	3
Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives	3
The Projection onto the Cross	3
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications	3
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems	3
Steepest Geometric Descent for Regularized Quasiconvex Functions	3
Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy	3
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma	3
Characterization of Strong Local Maximal Monotonicity Through Graphical Derivatives	3
Calm Local Optimality for Nonconvex-Nonconcave Minimax Problems	3
The Boosted DC Algorithm for Linearly Constrained DC Programming	3
Parametrized Families of Resolvent Compositions	2
Optimal Control and Directional Differentiability for Elliptic Quasi-Variational Inequalities	2
Impulsive Input-to-State Stabilization of an Ensemble	2
Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization	2
Convex Robust Sum Optimization Problems with Conic and Set Constraints: Duality and Optimality Conditions Revisited	2
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	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
Set Valued Equilibrium Problems Without Linear Structure	2
A Strong Law of Large Numbers for Random Monotone Operators	2
Vector Optimization with Variable Domination Structure: A Unifying Approach	2
Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness	2
Existence of Solutions for a Differential System Involving Doubly Nonlinear Inclusions	2
Lipschitz Stability in Convex Optimization	2
Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information	2
Sensitivity Analysis in Parametric Convex Vector Optimization	2
Non-Linear Operators and Differentiability of Lipschitz Functions	2
Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions	2
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema	2
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity	2
BV Sweeping Process Involving Prox-Regular Sets and a Composed Perturbation	1
Conservative Parametric Optimality and the Ridge Method for Tame Min-Max Problems	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 Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process	1
Distance Function Associated to a Prox-regular set	1
Measuring the Stability. A Paradigmatic Problem in Optimization	1
Superquantiles at Work: Machine Learning Applications and Efficient Subgradient Computation	1
Set Convergences via Bornology	1
Optimal Control of Systems with Backlash: The Case of Inelastic Impact	1
Partial Subdifferentials in a Smooth Set	1
Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators	1
Minimizing Curves in Prox-regular Subsets of Riemannian Manifolds	1
Estimates of Generalized Hessians for Optimal Value Functions in Mathematical Programming	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
Sensitivity Analysis of the Set of Sustainable Thresholds	1
Caristi-Type Conditions in Constraint Minimisation of Mappings in Metric and Partially Ordered Spaces	1
Inertial Krasnoselskii-Mann Iterations	1

Approximation of Chattering Arcs in Optimal Control Problems Governed by Mono-Input Affine Control Systems	1
Superdifferential Analysis of the Takagi-Van Der Waerden Functions	1
Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions	1
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces	1
Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces	1
On Strict Proto-Differentiability of Set-Valued Mappings	1
Sequential M-Stationarity Conditions for General Optimization Problems	1
A Note on the Hausdorff Distance Between Norm Balls and Their Linear Maps	1
Correction to: Necessary Conditions in Infinite-Horizon Control Problems That Need No Asymptotic Assumptions	1
Calmness of the Solution Mapping of Navier-Stokes Problems Modeled by Hemivariational Inequalities	1
Projectional Coderivatives and Calculus Rules	1
Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings	1