Variational analysis of paraconvex multifunctions
From MaRDI portal
Publication:2139253
DOI10.1007/s10957-022-02021-2OpenAlexW3186178614MaRDI QIDQ2139253
Huynh Van Ngai, Michel Théra, Nguyen Van Vu, Nguyen Huu Tron
Publication date: 17 May 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-022-02021-2
coderivativesFréchet normal coneFréchet subdifferentialparamonotonicityparaconvexityweak convexityapproximate convex functionfuzzy mean value theoremlower \(C^2\) functions
Nonlinear programming (90C30) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27)
Related Items
Cites Work
- Implicit multifunction theorems in complete metric spaces
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Approximately convex functions and approximately monotonic operators
- Sweeping process with regular and nonregular sets.
- \(\Phi\)-convex functions defined on metric spaces
- Directionally pseudo-Lipschitz set-valued mappings
- On the singularities of convex functions
- On the variational principle
- Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization
- Coderivative conditions for error bounds of \(\gamma\)-paraconvex multifunctions
- Implicit multifunction theorems
- Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
- Subgradient of distance functions with applications to Lipschitzian stability
- Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
- Generalized subdifferentials: a Baire categorical approach
- Calculus Without Derivatives
- Approximate mean value theorem for upper subderivatives
- Strong and Weak Convexity of Sets and Functions
- Subsmooth sets: Functional characterizations and related concepts
- Evolution equations with lack of convexity
- On Subdifferentials of Optimal Value Functions
- On conditions warranting Φ-subdifferentiability
- Submonotone Subdifferentials of Lipschitz Functions
- Équations inf-convolutives et conjugaison de Moreau-Fenchel
- Semismooth and Semiconvex Functions in Constrained Optimization
- On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions
- Variational Analysis
- Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
- Mean Value Property and Subdifferential Criteria for Lower Semicontinuous Functions
- Paraconvex functions and paraconvex sets
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
