Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space
type: Item
instance of: scholarly article
title: Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space
zbMATH Open document ID: 1472.47039
DOI: 10.1155/2014/238191
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The class \(\mathfrak A\)-KKM\((X, Y, Z)\) and generalized KKM mapping are introduced, and some generalized KKM theorems are proved. As applications, Ky Fan's matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results.
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7021974
zbMATH Keywords: class \(\mathfrak A\)-KKM\((X, Y, Z)\) mapping
zbMATH Keywords: generalized KKM theorems
Wikidata QID: Q59036573
author: Gu-Sheng Tang
author: Qing-Bang Zhang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/238191
OpenAlex ID: W2023121039
cites work: A generalization of Tychonoff's fixed point theorem
cites work: Generalizations of Ky Fan's matching theorems and their applications
cites work: Generalized KKM theorem and variational inequalities
cites work: S-KKM theorems, saddle points and minimax inequalities
cites work: On S-KKM property and-related topics
cites work: Weakly \(G\)-KKM mappings, \(G\)-KKM property, and minimax inequalities
cites work: Q3014118
cites work: Generalized \(L\)-KKM type theorems in \(L\)-convex spaces with applications
cites work: S-G-L-KKM theorems in L-convex space and their applications to minimax inequalities
cites work: Maximal element theorems in product \(FC\)-spaces and generalized games
cites work: Some results on R-KKM mappings and R-KKM selections and their applications
cites work: Coincidence theorems in topological spaces and their applications
cites work: KKM type theorems and generalized vector equilibrium problems in noncompact FC-spaces
cites work: KKM type theorems and coincidence theorems with applications to the existence of equilibria
cites work: Some properties of convex sets related to fixed point theorems
cites work: The fixed point theory of multi-valued mappings in topological vector spaces
cites work: On some equilibrium problems for multimaps
cites work: Generalized KKM theorems and common fixed point theorems
cites work: Generalized KKM-type theorems in GFC-spaces and applications
cites work: Equivalent forms of a generalized KKM theorem and their applications
cites work: KKM mappings in cone metric spaces and some fixed point theorems
description: scientific article; zbMATH DE number 7021974