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 2021-06-01 to 2025-06-01.)

Article	Citations
Conservative and Semismooth Derivatives are Equivalent for Semialgebraic Maps	26
On Successive Approximations for Compact-Valued Nonexpansive Mappings	14
Softening Bilevel Problems Via Two-scale Gibbs Measures	14
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators	9
Variational Analysis of a Nonconvex and Nonsmooth Optimization Problem: An Introduction	9
On the Continuity of the Tangent Cone to the Determinantal Variety	9
Algebraic Approach to Duality in Optimization and Applications	7
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming	7
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints	7
Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme	7
First-Order Frameworks for Continuous Newton-like Dynamics Governed by Maximally Monotone Operators	6
Random Lift of Set Valued Maps and Applications to Multiagent Dynamics	6
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces	6
Optimal Trajectories and the Neoclassical Calculus of Variations	6
Scholtes Relaxation Method for Pessimistic Bilevel Optimization	5
On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions	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
Rosen Games on Banach Spaces: Quasi-Convex Case	5
Characterizations of Some Transversality-Type Properties	4
Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces	4
Dynamics of Nonautomous Impulsive Multivalued Processes	4
Preface to “Optimization, Convex and Variational Analysis”	4
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions	3
Regularity and Stability for a Convex Feasibility Problem	3

Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives	3
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells	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
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems	3
Stability of Minimization Problems and the Error Bound Condition	3
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma	3
Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy	3
Parametrized Families of Resolvent Compositions	2
The Projection onto the Cross	2
The Boosted DC Algorithm for Linearly Constrained DC Programming	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
Convex Robust Sum Optimization Problems with Conic and Set Constraints: Duality and Optimality Conditions Revisited	2
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity	2
Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information	2
Duality Between Multi-Output Production Correspondences and Cost Functions	2
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm	2
Set Valued Equilibrium Problems Without Linear Structure	2
Calm Local Optimality for Nonconvex-Nonconcave Minimax Problems	2
Non-Linear Operators and Differentiability of Lipschitz Functions	2
Vector Optimization with Variable Domination Structure: A Unifying Approach	2
Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness	2
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind	2
Second-order Optimality Conditions for Mathematical Program with Semidefinite Cone Complementarity Constraints and Applications	2
Steepest Geometric Descent for Regularized Quasiconvex Functions	2
Optimal Control and Directional Differentiability for Elliptic Quasi-Variational Inequalities	2
Existence of Solutions for a Differential System Involving Doubly Nonlinear Inclusions	2
A Strong Law of Large Numbers for Random Monotone Operators	2
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities	2
A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process	2
Minimizing Curves in Prox-regular Subsets of Riemannian Manifolds	1
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema	1
Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces	1
Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence	1
Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators	1
Sequential M-Stationarity Conditions for General Optimization Problems	1
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces	1
Sensitivity Analysis of the Set of Sustainable Thresholds	1
Superquantiles at Work: Machine Learning Applications and Efficient Subgradient Computation	1
Approximation of Chattering Arcs in Optimal Control Problems Governed by Mono-Input Affine Control Systems	1
Measuring the Stability. A Paradigmatic Problem in Optimization	1
On the Strong Convergence of Forward-Backward Splitting in Reconstructing Jointly Sparse Signals	1
Distance Function Associated to a Prox-regular set	1
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	1
Kantorovich’s Fixed Point Theorem and Coincidence Point Theorems for Mappings in Vector Metric Spaces	1
A Note on the Hausdorff Distance Between Norm Balls and Their Linear Maps	1
Stability and Sensitivity of Uncertain Linear Programs	1
A Mean Value Theorem for Tangentially Convex Functions	1

Correction to: Necessary Conditions in Infinite-Horizon Control Problems That Need No Asymptotic Assumptions	1
Inertial Krasnoselskii-Mann Iterations	1
Set Convergences via Bornology	1
Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings	1
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
Rectifiable Curves in Proximally Smooth Sets	1
Estimates of Generalized Hessians for Optimal Value Functions in Mathematical Programming	1
Projectional Coderivatives and Calculus Rules	1
Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions	1
Michael Selections and Castaing Representations with càdlàg Functions	1
Complexity Analysis Based on Tuning the Viscosity Parameter of the Su-Boyd-Candès Inertial Gradient Dynamics	1
Calmness of the Solution Mapping of Navier-Stokes Problems Modeled by Hemivariational Inequalities	1
On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems	1
Superdifferential Analysis of the Takagi-Van Der Waerden Functions	1
Caristi-Type Conditions in Constraint Minimisation of Mappings in Metric and Partially Ordered Spaces	1