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 2021-02-01 to 2025-02-01.)

Article	Citations
Conservative and Semismooth Derivatives are Equivalent for Semialgebraic Maps	16
Preface to the Special Issue Geometry, Optimization, and Convex Analysis	14
Convex Robust Sum Optimization Problems with Conic and Set Constraints: Duality and Optimality Conditions Revisited	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	8
On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems	6
Nonlinear Forward-Backward Splitting with Momentum Correction	6
A Radius of Robust Feasibility for Uncertain Farthest Voronoi Cells	6
Stability of Minimization Problems and the Error Bound Condition	5
On Successive Approximations for Compact-Valued Nonexpansive Mappings	5
Rectifiable Curves in Proximally Smooth Sets	5
Resolvents and Yosida Approximations of Displacement Mappings of Isometries	5
A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process	5
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions	4
Measure Differential Equations with a General Nonlocal Condition	4
Perturbation Method in Orlicz Sequence Spaces	4
Complexity Analysis Based on Tuning the Viscosity Parameter of the Su-Boyd-Candès Inertial Gradient Dynamics	4
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities	4
Softening Bilevel Problems Via Two-scale Gibbs Measures	4
Forward-Backward Algorithm for Functions with Locally Lipschitz Gradient: Applications to Mean Field Games	4
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema	3
Characteristic curves for Set-Valued Hamilton-Jacobi Equations	3
Topological Approach to Mathematical Programs with Switching Constraints	3
R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization	3

Evolution Integro-Differential Inclusions	3
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications	3
Calmness and Calculus: Two Basic Patterns	3
Sensitivity Analysis of the Set of Sustainable Thresholds	3
Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence	3
Shortest Curves in Proximally Smooth Sets: Existence and Uniqueness	3
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	3
A Differential Equation Approach to Evolutionary Quasi-Variational Inequalities Arising in Contact Problems	2
A Variational Approach to a Cumulative Distribution Function Estimation Problem Under Stochastic Ambiguity	2
On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems	2
Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions	2
Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy	2
Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces	2
About Error Bounds in Metrizable Topological Vector Spaces	2
Calmness of a Perturbed Cournot Oligopoly Game with Nonsmooth Cost Functions	2
Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators	2
Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions	2
Relaxed Constant Positive Linear Dependence Constraint Qualification for Disjunctive Systems	2
Primal Superlinear Convergence of Sqp Methods in Piecewise Linear-Quadratic Composite Optimization	2
Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives	2
Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma	2
On the Continuity of the Tangent Cone to the Determinantal Variety	2
Distance Function Associated to a Prox-regular set	2
Fast Continuous Dynamics Inside the Graph of Maximally Monotone Operators	2
Correction to: Necessary Conditions in Infinite-Horizon Control Problems That Need No Asymptotic Assumptions	2
Michael Selections and Castaing Representations with càdlàg Functions	2
Stability and Sensitivity of Uncertain Linear Programs	2
Stability for Parametric Control Problems of PDEs via Generalized Differentiation	1
Linear Convergence of the Derivative-Free Proximal Bundle Method on Convex Nonsmooth Functions, with Application to the Derivative-Free $\mathcal{VU}$-Algorithm	1
On Ranges of Non-linear Operators	1
Minimizing Curves in Prox-regular Subsets of Riemannian Manifolds	1
Estimates of Generalized Hessians for Optimal Value Functions in Mathematical Programming	1
Algebraic Approach to Duality in Optimization and Applications	1
Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus	1
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm	1
BV Sweeping Process Involving Prox-Regular Sets and a Composed Perturbation	1
Existence Results for Quasi-variational Inequalities with Applications to Radner Equilibrium Problems	1
No Infimum Gap and Normality in Optimal Impulsive Control Under State Constraints	1
Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation	1
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints	1
A General Perturbed Newtonian Framework and Critical Solutions of Nonlinear Equations	1
A Mean Value Theorem for Tangentially Convex Functions	1
Steepest Geometric Descent for Regularized Quasiconvex Functions	1
Variational Principles for Maximization Problems with Lower-semicontinuous Goal Functions	1
On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping	1
Correction to: Calmness of a Perturbed Cournot Oligopoly Game with Nonsmooth Cost Functions	1
Regularity of Sets Under a Reformulation in a Product Space with Reduced Dimension	1
An Algorithm for Best Generalised Rational Approximation of Continuous Functions	1
Miguel A. Goberna: “The Challenge was to Bring Spanish Research in Mathematics to Normality”	1
MPCC: Strong Stability of M-stationary Points	1

On the Strong Convergence of Forward-Backward Splitting in Reconstructing Jointly Sparse Signals	1
Nonsmooth Feedback Control for Multi-Agent Dynamics	1
Duality Between Multi-Output Production Correspondences and Cost Functions	1
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces	1
Conservative Parametric Optimality and the Ridge Method for Tame Min-Max Problems	1
The Boosted DC Algorithm for Linearly Constrained DC Programming	1
On Fractional Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator	1
The Projection onto the Cross	1
Regularity and Stability for a Convex Feasibility Problem	1