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 2020-11-01 to 2024-11-01.)

Article	Citations
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces	16
Bregman Forward-Backward Operator Splitting	14
On the Analysis of Variance-reduced and Randomized Projection Variants of Single Projection Schemes for Monotone Stochastic Variational Inequality Problems	14
Variational Analysis Perspective on Linear Convergence of Some First Order Methods for Nonsmooth Convex Optimization Problems	14
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	12
No Infimum Gap and Normality in Optimal Impulsive Control Under State Constraints	10
Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive and Ortho-Disjunctive Programs	9
A Direct Proof of Convergence of Davis–Yin Splitting Algorithm Allowing Larger Stepsizes	8
Circumcentering Reflection Methods for Nonconvex Feasibility Problems	6
On Nonconvex Pseudomonotone Equilibrium Problems with Applications	6
Generalized Sequential Differential Calculus for Expected-Integral Functionals	6
First-Order Frameworks for Continuous Newton-like Dynamics Governed by Maximally Monotone Operators	5
On Fractional Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator	5
Erratum to: New Constraint Qualifications and Optimality Conditions for Second Order Cone Programs	5
Perturbation Techniques for Convergence Analysis of Proximal Gradient Method and Other First-Order Algorithms via Variational Analysis	5
On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions	5
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind	5
R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization	5
Nonconvex and Nonsmooth Approaches for Affine Chance-Constrained Stochastic Programs	4
Primal Superlinear Convergence of Sqp Methods in Piecewise Linear-Quadratic Composite Optimization	4
Derivatives of Probability Functions: Unions of Polyhedra and Elliptical Distributions	4
Vector Optimization with Domination Structures: Variational Principles and Applications	4
Topological Approach to Mathematical Programs with Switching Constraints	4
The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces	4
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm	4

Superquantiles at Work: Machine Learning Applications and Efficient Subgradient Computation	3
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints	3
An Algorithm for Best Generalised Rational Approximation of Continuous Functions	3
Resolvents and Yosida Approximations of Displacement Mappings of Isometries	3
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity	3
Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus	3
Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions	3
Differential stability properties in convex scalar and vector optimization	3
Kantorovich’s Fixed Point Theorem and Coincidence Point Theorems for Mappings in Vector Metric Spaces	3
The Boosted DC Algorithm for Linearly Constrained DC Programming	3
Calmness and Calculus: Two Basic Patterns	3
Limits of Eventual Families of Sets with Application to Algorithms for the Common Fixed Point Problem	2
Enlargements of the Moreau–Rockafellar Subdifferential	2
Optimal Control and Directional Differentiability for Elliptic Quasi-Variational Inequalities	2
Estimates of Generalized Hessians for Optimal Value Functions in Mathematical Programming	2
Existence Results for Quasi-variational Inequalities with Applications to Radner Equilibrium Problems	2
Fast Continuous Dynamics Inside the Graph of Maximally Monotone Operators	2
A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process	2
Conservative and Semismooth Derivatives are Equivalent for Semialgebraic Maps	2
Dynamics of Nonautomous Impulsive Multivalued Processes	2
Resolvent and Proximal Compositions	2
Ergodic Approach to Robust Optimization and Infinite Programming Problems	2
Minimizing Curves in Prox-regular Subsets of Riemannian Manifolds	2
Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation	2
Constrained Lipschitzian Error Bounds and Noncritical Solutions of Constrained Equations	2
Stability of Minimization Problems and the Error Bound Condition	2
The Elicited Progressive Decoupling Algorithm: A Note on the Rate of Convergence and a Preliminary Numerical Experiment on the Choice of Parameters	2
Projectional Coderivatives and Calculus Rules	2
Second-order Optimality Conditions for Mathematical Program with Semidefinite Cone Complementarity Constraints and Applications	2
Algebraic Approach to Duality in Optimization and Applications	2
On Ranges of Non-linear Operators	2
MPCC: Strong Stability of M-stationary Points	2
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications	2
Nonlinear Forward-Backward Splitting with Momentum Correction	2
A Note on the Hausdorff Distance Between Norm Balls and Their Linear Maps	1
Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces	1
Perturbation Method in Orlicz Sequence Spaces	1
On Successive Approximations for Compact-Valued Nonexpansive Mappings	1
Forward-partial inverse-half-forward splitting algorithm for solving monotone inclusions	1
Superdifferential Analysis of the Takagi-Van Der Waerden Functions	1
Limiting Behaviour of the Generalized Simplex Gradient as the Number of Points Tends to Infinity on a Fixed Shape in IRn	1
The Homogenization Cone: Polar Cone and Projection	1
On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming	1
On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping	1
On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems	1
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities	1
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions	1
Rectifiable Curves in Proximally Smooth Sets	1
Characterizations of Some Transversality-Type Properties	1
Generalized Nash Equilibrium from a Robustness Perspective in Variational Analysis	1

Risk-Averse Stochastic Programming and Distributionally Robust Optimization Via Operator Splitting	1
Calmness of the Solution Mapping of Navier-Stokes Problems Modeled by Hemivariational Inequalities	1
Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme	1
Nonsmooth Feedback Control for Multi-Agent Dynamics	1
Distance Function Associated to a Prox-regular set	1
Complexity Analysis Based on Tuning the Viscosity Parameter of the Su-Boyd-Candès Inertial Gradient Dynamics	1
Softening Bilevel Problems Via Two-scale Gibbs Measures	1
On Diffeologies for Power Sets and Measures	1
Solving monotone inclusions involving the sum of three maximally monotone operators and a cocoercive operator with applications	1
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces	1
Representative Functions, Variational Convergence and Almost Convexity	1
Cone-Constrained Eigenvalue Problems: Structure of Cone Spectra	1
A Mean Value Theorem for Tangentially Convex Functions	1
The Projection onto the Cross	1