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 2020-04-01 to 2024-04-01.)

Article	Citations
Continuous Newton-like Inertial Dynamics for Monotone Inclusions	22
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces	14
Variational Analysis Perspective on Linear Convergence of Some First Order Methods for Nonsmooth Convex Optimization Problems	13
The ABC of DC Programming	13
A Discussion of Probability Functions and Constraints from a Variational Perspective	12
On the Analysis of Variance-reduced and Randomized Projection Variants of Single Projection Schemes for Monotone Stochastic Variational Inequality Problems	12
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	11
Bregman Forward-Backward Operator Splitting	11
Continuous Dynamics Related to Monotone Inclusions and Non-Smooth Optimization Problems	10
Transversality Properties: Primal Sufficient Conditions	8
No Infimum Gap and Normality in Optimal Impulsive Control Under State Constraints	8
Nonsmoothness in Machine Learning: Specific Structure, Proximal Identification, and Applications	7
A Direct Proof of Convergence of Davis–Yin Splitting Algorithm Allowing Larger Stepsizes	7
Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive and Ortho-Disjunctive Programs	7
Measure Differential Inclusions: Existence Results and Minimum Problems	7
Circumcentering Reflection Methods for Nonconvex Feasibility Problems	5
Erratum to: New Constraint Qualifications and Optimality Conditions for Second Order Cone Programs	5
A Discussion on Variational Analysis in Derivative-Free Optimization	5
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
On a Time and State Dependent Maximal Monotone Operator Coupled with a Sweeping Process with Perturbations	5
Generalized Sequential Differential Calculus for Expected-Integral Functionals	5
Perturbation Techniques for Convergence Analysis of Proximal Gradient Method and Other First-Order Algorithms via Variational Analysis	5
Upper Semicontinuity of the Solution Map to a Parametric Elliptic Optimal Control Problem	4
Metric Regularity and Lyusternik-Graves Theorem via Approximate Fixed Points of Set-Valued Maps in Noncomplete Metric Spaces	4

The Gradient Projection Algorithm for Smooth Sets and Functions in Nonconvex Case	4
R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization	4
Derivatives of Probability Functions: Unions of Polyhedra and Elliptical Distributions	4
On Nonconvex Pseudomonotone Equilibrium Problems with Applications	4
Vector Optimization with Domination Structures: Variational Principles and Applications	3
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm	3
Regularization of Brézis pseudomonotone variational inequalities	3
Differential stability properties in convex scalar and vector optimization	3
An Algorithm for Best Generalised Rational Approximation of Continuous Functions	3
Primal Superlinear Convergence of Sqp Methods in Piecewise Linear-Quadratic Composite Optimization	3
Resolvents and Yosida Approximations of Displacement Mappings of Isometries	3
The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces	3
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind	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
On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions	3
State-Constrained Control-Affine Parabolic Problems I: First and Second Order Necessary Optimality Conditions	2
Dynamics of Nonautomous Impulsive Multivalued Processes	2
Nonconvex and Nonsmooth Approaches for Affine Chance-Constrained Stochastic Programs	2
Second-order Optimality Conditions for Mathematical Program with Semidefinite Cone Complementarity Constraints and Applications	2
Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints	2
Set-Convergence and Its Application: A Tutorial	2
Constrained Lipschitzian Error Bounds and Noncritical Solutions of Constrained Equations	2
Calmness and Calculus: Two Basic Patterns	2
Conservative and Semismooth Derivatives are Equivalent for Semialgebraic Maps	2
Superquantiles at Work: Machine Learning Applications and Efficient Subgradient Computation	2
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity	2
Optimal Control and Directional Differentiability for Elliptic Quasi-Variational Inequalities	2
Kantorovich’s Fixed Point Theorem and Coincidence Point Theorems for Mappings in Vector Metric Spaces	2
Algebraic Approach to Duality in Optimization and Applications	2
The Obstacle Problem at Zero for the Fractional p-Laplacian	2
Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Semilinear Parabolic Equations	2
Topological Approach to Mathematical Programs with Switching Constraints	2
Limits of Eventual Families of Sets with Application to Algorithms for the Common Fixed Point Problem	2
The Elicited Progressive Decoupling Algorithm: A Note on the Rate of Convergence and a Preliminary Numerical Experiment on the Choice of Parameters	2
On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings	2
Ergodic Approach to Robust Optimization and Infinite Programming Problems	2
On Ranges of Non-linear Operators	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
On the FPV Property, Monotone Operator Structure and the Monotone Polar of Representable Monotone Sets	2
Stability of Minimization Problems and the Error Bound Condition	2
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications	1
On Diffeologies for Power Sets and Measures	1
Enlargements of the Moreau–Rockafellar Subdifferential	1
Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme	1
Cone-Constrained Eigenvalue Problems: Structure of Cone Spectra	1
Nonsmooth Feedback Control for Multi-Agent Dynamics	1
The Boosted DC Algorithm for Linearly Constrained DC Programming	1
MPCC: Strong Stability of M-stationary Points	1

On Successive Approximations for Compact-Valued Nonexpansive Mappings	1
Softening Bilevel Problems Via Two-scale Gibbs Measures	1
Characterizations of Some Transversality-Type Properties	1
Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces	1
On Existence of Solutions of Parametrized Generalized Equations	1
The Homogenization Cone: Polar Cone and Projection	1
Correction to: On the Continuity of the Tangent Cone to the Determinantal Variety	1
The Projection onto the Cross	1
Minimizing Curves in Prox-regular Subsets of Riemannian Manifolds	1
Rectifiable Curves in Proximally Smooth Sets	1
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities	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
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
Estimates of Generalized Hessians for Optimal Value Functions in Mathematical Programming	1
Distance Function Associated to a Prox-regular set	1
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions	1