Nonconvex scalarization in set optimization with set-valued maps
type: Item
instance of: scholarly article
title: Nonconvex scalarization in set optimization with set-valued maps
zbMATH Open document ID: 1110.90080
author: Luis Rodríguez-Marín
author: Elvira Hernández
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
Mathematics Subject Classification ID: 90C49
zbMATH DE Number: 5078906
zbMATH Keywords: set optimization
zbMATH Keywords: set-valued optimization
zbMATH Keywords: nonconvex scalarization
zbMATH Keywords: Gerstewitz's nonconvex separation functional
zbMATH Keywords: optimality conditions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.01.033
OpenAlex ID: W2035990529
cites work: Set-relations and optimality conditions in set-valued maps
cites work: Q3324260
cites work: Optimality conditions for set-valued optimization problems
cites work: Vector network equilibrium problems and nonlinear scalarization methods
cites work: Existence and Lagrangian duality for maximization of set-valued functions
cites work: Nonconvex separation theorems and some applications in vector optimization
cites work: Q4461359
cites work: Q3220809
cites work: Some duality theorems of set-valued optimization with natural criteria
cites work: On set-valued optimization.
cites work: Existence theorems of set optimization with set-valued maps
cites work: Q4408968
cites work: Nonconvex vector optimization of set-valued mappings.
cites work: Axiomatic approach to duality in optimization
cites work: Convergence results for weak efficiency in vector optimization problems with equilibrium constraints
DOI: 10.1016/J.JMAA.2006.01.033
Recommended article: Q5399322
Recommended article: Nonconvex vector optimization of set-valued mappings.
Recommended article: Scalarization of Set-Valued Optimization Problems in Normed Spaces
Recommended article: A vectorization for nonconvex set-valued optimization
Recommended article: Conjugate duality in set optimization via nonlinear scalarization
Recommended article: Nonlinear scalarizing functions in set optimization problems
Recommended article: Scalarizations and Lagrange multipliers for approximate solutions in the vector optimization problems with set-valued maps
Recommended article: Q4640400
Recommended article: Nonlinear scalarization functions and polar cone in set optimization
Recommended article: Scalarization in set optimization with solid and nonsolid ordering cones
description: scientific article; zbMATH DE number 5078906