Generalized relative interiors and generalized convexity in infinite-dimensional spaces
From MaRDI portal
Publication:6648850
DOI10.1080/02331934.2024.2356205MaRDI QIDQ6648850
Nguyen Mau Nam, Vo Si Trong Long, Boris S. Mordukhovich
Publication date: 5 December 2024
Published in: Optimization (Search for Journal in Brave)
Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions
- Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings
- Optimality conditions of generalized subconvexlike set-valued optimization problems based on the quasi-relative interior
- On the maximal domain of a monotone function
- Quasi-relative interiors for graphs of convex set-valued mappings
- Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
- Duality for almost convex optimization problems via the perturbation approach
- Partially finite convex programming. I: Quasi relative interiors and duality theory
- Generalizations of Slater's constraint qualification for infinite convex programs
- Notions of relative interior in Banach spaces
- Fenchel duality in infinite-dimensional setting and its applications.
- Separation theorem based on the quasirelative interior and application to duality theory
- On the virtual convexity of the domain and range of a nonlinear maximal monotone operator
- On the use of the quasi-relative interior in optimization
- Regularity conditions via generalized interiority notions in convex optimization: New achievements and their relation to some classical statements
- Regularity Conditions via Quasi-Relative Interior in Convex Programming
- Variational Analysis and Applications
- Convex Analysis and Beyond
- Set-valued Optimization
- Convex Analysis
- Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors
- Convex analysis and monotone operator theory in Hilbert spaces
- An Easy Path to Convex Analysis and Applications
This page was built for publication: Generalized relative interiors and generalized convexity in infinite-dimensional spaces