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 2021-04-01 to 2025-04-01.)

Article	Citations
Conservative and Semismooth Derivatives are Equivalent for Semialgebraic Maps	22
Convex Robust Sum Optimization Problems with Conic and Set Constraints: Duality and Optimality Conditions Revisited	14
Preface to the Special Issue Geometry, Optimization, and Convex Analysis	14
Sums of Squares Polynomial Program Reformulations for Adjustable Robust Linear Optimization Problems with Separable Polynomial Decision Rules	12
Preface to “Optimization, Convex and Variational Analysis”	10
Optimization, Convex and Variational Analysis – Volume II	9
Complexity Analysis Based on Tuning the Viscosity Parameter of the Su-Boyd-Candès Inertial Gradient Dynamics	8
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells	8
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities	7
Nonlinear Forward-Backward Splitting with Momentum Correction	7
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications	6
Resolvents and Yosida Approximations of Displacement Mappings of Isometries	6
Rectifiable Curves in Proximally Smooth Sets	6
Calmness and Calculus: Two Basic Patterns	5
Stability of Minimization Problems and the Error Bound Condition	5
Topological Approach to Mathematical Programs with Switching Constraints	5
Softening Bilevel Problems Via Two-scale Gibbs Measures	5
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions	4
On Successive Approximations for Compact-Valued Nonexpansive Mappings	4
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	4
Characteristic curves for Set-Valued Hamilton-Jacobi Equations	4
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema	4
On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems	4
Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence	4
A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process	4

Evolution Integro-Differential Inclusions	3
Measure Differential Equations with a General Nonlocal Condition	3
R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization	3
Correction to: Necessary Conditions in Infinite-Horizon Control Problems That Need No Asymptotic Assumptions	3
Perturbation Method in Orlicz Sequence Spaces	3
Forward-Backward Algorithm for Functions with Locally Lipschitz Gradient: Applications to Mean Field Games	3
Michael Selections and Castaing Representations with càdlàg Functions	3
Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness	3
Sensitivity Analysis of the Set of Sustainable Thresholds	3
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma	3
Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions	3
Stability for Parametric Control Problems of PDEs via Generalized Differentiation	2
On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping	2
Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus	2
Linear Convergence of the Derivative-Free Proximal Bundle Method on Convex Nonsmooth Functions, with Application to the Derivative-Free $\mathcal{VU}$-Algorithm	2
Stability and Sensitivity of Uncertain Linear Programs	2
No Infimum Gap and Normality in Optimal Impulsive Control Under State Constraints	2
Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation	2
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems	2
Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces	2
Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives	2
A Variational Approach to a Cumulative Distribution Function Estimation Problem Under Stochastic Ambiguity	2
Primal Superlinear Convergence of Sqp Methods in Piecewise Linear-Quadratic Composite Optimization	2
About Error Bounds in Metrizable Topological Vector Spaces	2
MPCC: Strong Stability of M-stationary Points	2
Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions	2
On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems	2
Algebraic Approach to Duality in Optimization and Applications	2
Distance Function Associated to a Prox-regular set	2
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators	2
Fast Continuous Dynamics Inside the Graph of Maximally Monotone Operators	2
Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy	2
On the Continuity of the Tangent Cone to the Determinantal Variety	2
A Differential Equation Approach to Evolutionary Quasi-Variational Inequalities Arising in Contact Problems	2
Existence Results for Quasi-variational Inequalities with Applications to Radner Equilibrium Problems	1
Regularity of Sets Under a Reformulation in a Product Space with Reduced Dimension	1
BV Sweeping Process Involving Prox-Regular Sets and a Composed Perturbation	1
Regularity and Stability for a Convex Feasibility Problem	1
Preface to “Recent Franco-Chilean Collaborations in Variational Analysis”	1
Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators	1
Nonconvex and Nonsmooth Approaches for Affine Chance-Constrained Stochastic Programs	1
A General Perturbed Newtonian Framework and Critical Solutions of Nonlinear Equations	1
Miguel A. Goberna: “The Challenge was to Bring Spanish Research in Mathematics to Normality”	1
Correction to: Calmness of a Perturbed Cournot Oligopoly Game with Nonsmooth Cost Functions	1
On Ranges of Non-linear Operators	1
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces	1
First-Order Frameworks for Continuous Newton-like Dynamics Governed by Maximally Monotone Operators	1
Variational Principles for Maximization Problems with Lower-semicontinuous Goal Functions	1
Conservative Parametric Optimality and the Ridge Method for Tame Min-Max Problems	1
Correction to: On the Continuity of the Tangent Cone to the Determinantal Variety	1

On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind	1
On the Analysis of Variance-reduced and Randomized Projection Variants of Single Projection Schemes for Monotone Stochastic Variational Inequality Problems	1
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming	1
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm	1
The Projection onto the Cross	1
On the Strong Convergence of Forward-Backward Splitting in Reconstructing Jointly Sparse Signals	1
Minimizing Curves in Prox-regular Subsets of Riemannian Manifolds	1
On Fractional Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator	1
Steepest Geometric Descent for Regularized Quasiconvex Functions	1
Duality Between Multi-Output Production Correspondences and Cost Functions	1
The Boosted DC Algorithm for Linearly Constrained DC Programming	1
Sequential M-Stationarity Conditions for General Optimization Problems	1
Vector Optimization with Domination Structures: Variational Principles and Applications	1
Proximal Algorithms for a Class of Abstract Convex Functions	1
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints	1
Estimates of Generalized Hessians for Optimal Value Functions in Mathematical Programming	1
An Algorithm for Best Generalised Rational Approximation of Continuous Functions	1