Set-Valued and Variational Analysis

Papers
(The TQCC of Set-Valued and Variational Analysis is 3. 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.)
ArticleCitations
Continuous Newton-like Inertial Dynamics for Monotone Inclusions22
Suns, Moons, and $$\mathring{B}$$-complete Sets in Asymmetric Spaces14
The ABC of DC Programming13
Variational Analysis Perspective on Linear Convergence of Some First Order Methods for Nonsmooth Convex Optimization Problems13
On the Analysis of Variance-reduced and Randomized Projection Variants of Single Projection Schemes for Monotone Stochastic Variational Inequality Problems12
A Discussion of Probability Functions and Constraints from a Variational Perspective12
Bregman Forward-Backward Operator Splitting11
Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions11
Continuous Dynamics Related to Monotone Inclusions and Non-Smooth Optimization Problems10
No Infimum Gap and Normality in Optimal Impulsive Control Under State Constraints8
Transversality Properties: Primal Sufficient Conditions8
Measure Differential Inclusions: Existence Results and Minimum Problems7
Nonsmoothness in Machine Learning: Specific Structure, Proximal Identification, and Applications7
A Direct Proof of Convergence of Davis–Yin Splitting Algorithm Allowing Larger Stepsizes7
Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive and Ortho-Disjunctive Programs7
On a Time and State Dependent Maximal Monotone Operator Coupled with a Sweeping Process with Perturbations5
Generalized Sequential Differential Calculus for Expected-Integral Functionals5
Perturbation Techniques for Convergence Analysis of Proximal Gradient Method and Other First-Order Algorithms via Variational Analysis5
Circumcentering Reflection Methods for Nonconvex Feasibility Problems5
Erratum to: New Constraint Qualifications and Optimality Conditions for Second Order Cone Programs5
A Discussion on Variational Analysis in Derivative-Free Optimization5
First-Order Frameworks for Continuous Newton-like Dynamics Governed by Maximally Monotone Operators5
On Fractional Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator5
Derivatives of Probability Functions: Unions of Polyhedra and Elliptical Distributions4
On Nonconvex Pseudomonotone Equilibrium Problems with Applications4
Upper Semicontinuity of the Solution Map to a Parametric Elliptic Optimal Control Problem4
Metric Regularity and Lyusternik-Graves Theorem via Approximate Fixed Points of Set-Valued Maps in Noncomplete Metric Spaces4
The Gradient Projection Algorithm for Smooth Sets and Functions in Nonconvex Case4
R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization4
The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces3
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind3
Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus3
Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions3
On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions3
Vector Optimization with Domination Structures: Variational Principles and Applications3
Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm3
Regularization of Brézis pseudomonotone variational inequalities3
Differential stability properties in convex scalar and vector optimization3
An Algorithm for Best Generalised Rational Approximation of Continuous Functions3
Primal Superlinear Convergence of Sqp Methods in Piecewise Linear-Quadratic Composite Optimization3
Resolvents and Yosida Approximations of Displacement Mappings of Isometries3
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