A method of duality for a mixed vector equilibrium problem
type: Item
instance of: scholarly article
title: A method of duality for a mixed vector equilibrium problem
zbMATH Open document ID: 1189.90189
published in: Optimization Letters
publication date: 2010-01-29T00:00:00Z
review text: The authors develop the conjugate duality theory for mixed vector equilibrium problems in a Hausdorff vector space setting. These problems involve two vector functions. Being based on the previous results from scalar equilibrium problems, vector optimization, and vector variational inequalities, the authors define conjugate dual problems and present a sufficient condition which provides an analogue of the duality relationship between solutions.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 5664374
zbMATH Keywords: vector equilibrium problems
zbMATH Keywords: conjugate duality
zbMATH Keywords: duality solution relationship
author: S. J. Li
author: Pei Zhao
MaRDI profile type: Publication
full work available at URL: s11590-009-0141-x
OpenAlex ID: W1964555243
cites work: Duality for equilibrium problems under generalized monotonicity
cites work: Existence and duality of generalized vector equilibrium problems
cites work: Existence of solutions for generalized vector equilibrium problems
cites work: Vector equilibrium problems with generalized monotone bifunctions
cites work: Generalized monotone bifunctions and equilibrium problems
cites work: A note on equilibrium problems with properly quasimonotone bifunctions
cites work: A remark on vector-valued equilibria and generalized monotonicity
cites work: Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities
cites work: Duality for equilibrium problems
cites work: Duality for generalized equilibrium problem
cites work: A dual view of equilibrium problems
cites work: Duality results for generalized vector variational inequalities with set-valued maps
cites work: Dualization of subgradient conditions for optimality
cites work: Duality for \(\varepsilon \)-variational inequality
cites work: A generalization of Fenchel duality in set-valued vector optimization
cites work: On minimization over weakly efficient sets
cites work: Conjugate duality in vector optimization
cites work: On supremum of a set in a multidimensional space
cites work: Saddle points and gap functions for vector equilibrium problems via conjugate duality in vector optimization
DOI: 10.1007/S11590-009-0141-X
description: scientific article; zbMATH DE number 5664374