Existence theorems of \(\varepsilon\)-cone saddle points for vector-valued mappings
type: Item
instance of: scholarly article
title: Existence theorems of \(\varepsilon\)-cone saddle points for vector-valued mappings
zbMATH Open document ID: 1470.49012
DOI: 10.1155/2014/478486
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A new existence result of \(\varepsilon\)-vector equilibrium problem is first obtained. Then, by using the existence theorem of \(\varepsilon\)-vector equilibrium problem, a weakly \(\varepsilon\)-cone saddle point theorem is also obtained for vector-valued mappings.
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 7022454
Wikidata QID: Q59038588
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/478486
OpenAlex ID: W2016226501
cites work: Existence results for strong vector equilibrium problems and their applications
cites work: The strong minimax theorem and strong saddle points of vector-valued functions
cites work: Strong vector equilibrium problems
cites work: A minimax theorem for vector-valued functions in lexicographic order
cites work: Some minimax theorems in vector-valued functions
cites work: A characterization of generalized saddle points for vector-valued functions via scalarization
cites work: Generalized semicontinuity and existence theorems for cone saddle points
cites work: Minimax Problems for Set-Valued Mappings
cites work: Generalized saddle points theorems for set-valued mappings in locally generalized convex spaces
cites work: Existence of a solution and variational principles for vector equilibrium problems
cites work: Characterizations of solutions for vector equilibrium problems
cites work: EXISTENCE AND DUALITY OF IMPLICIT VECTOR VARIATIONAL PROBLEMS*
cites work: The existence of solutions and well-posedness for bilevel mixed equilibrium problems in Banach spaces
cites work: Minimax theorems in probabilistic metric spaces
cites work: Coincidence theorems and minimax inequalities in abstract convex spaces
cites work: Vector equilibrium type problems with (S)+-conditions
cites work: Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators
cites work: Existence of solutions for generalized vector quasi-equilibrium problems
cites work: Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems
cites work: Continuity of approximate solution mappings for parametric equilibrium problems
cites work: Q4461359
cites work: Q4040695
cites work: Minimax theorems for scalar set-valued mappings with nonconvex domains and applications
description: scientific article; zbMATH DE number 7022454