Qualitative properties of solutions to set optimization problems
type: Item
instance of: scholarly article
title: Qualitative properties of solutions to set optimization problems
zbMATH Open document ID: 1489.90177
author: Lam Quoc Anh
author: Nguyen Huu Danh
author: Pham Thanh Duoc
author: Tran Ngoc Tam
published in: Computational and Applied Mathematics
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 49K40
zbMATH DE Number: 7394348
zbMATH Keywords: set optimization problem
zbMATH Keywords: equilibrium problem
zbMATH Keywords: approximate solution map
zbMATH Keywords: Hölder continuity
zbMATH Keywords: nonlinear scalarization
MaRDI profile type: Publication
full work available at URL: s40314-021-01458-x
OpenAlex ID: W3133747525
cites work: Further on set-valued equilibrium problems and applications to Browder variational inclusions
cites work: Set-relations and optimality conditions in set-valued maps
cites work: On Hölder continuity of approximate solutions to parametric equilibrium problems
cites work: Continuity of approximate solution maps to vector equilibrium problems
cites work: On the stability of approximate solutions to set-valued equilibrium problems
cites work: Q3324260
cites work: Nonlinear programming techniques for equilibria
cites work: Q4366516
cites work: Optimality conditions for set-valued optimization problems
cites work: Equilibrium problems: existence results and applications
cites work: Some properties of convex sets related to fixed point theorems
cites work: Characterizing efficiency without linear structure: a unified approach
cites work: Variational methods in partially ordered spaces
cites work: Pointwise well-posedness in set optimization with cone proper sets
cites work: Scalarization in set optimization with solid and nonsolid ordering cones
cites work: Existence theorems for set optimization problems
cites work: Nonconvex scalarization in set optimization with set-valued maps
cites work: Optimality conditions for vector equilibrium problems with applications
cites work: The q-asymptotic function in c-convex analysis
cites work: New order relations in set optimization
cites work: Set-valued Optimization
cites work: Pointwise well-posedness and scalarization in set optimization
cites work: Q3220809
cites work: Treatment of set order relations by means of a nonlinear scalarization functional: a full characterization
cites work: Some duality theorems of set-valued optimization with natural criteria
cites work: Existence theorems of set optimization with set-valued maps
cites work: On cone convexity of set-valued maps
cites work: Nonconvex vector optimization of set-valued mappings.
cites work: Lipschitz continuity of an approximate solution mapping to equilibrium problems
cites work: Convergence of an adaptive penalty scheme for finding constrained equilibria
cites work: A remark on vector-valued equilibria and generalized monotonicity
cites work: On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality
cites work: Lipschitz continuity of an approximate solution mapping for parametric set-valued vector equilibrium problems
cites work: Levitin-Polyak well-posedness for set optimization problems involving set order relations
cites work: Continuity of the solution set mappings to a parametric set optimization problem
cites work: On the solution continuity of parametric set optimization problems
cites work: Well-posedness for set optimization problems
DOI: 10.1007/S40314-021-01458-X
description: scientific article; zbMATH DE number 7394348