An existence theorem of equilibrium for generalized games in \(H\)-spaces
type: Item
instance of: scholarly article
title: An existence theorem of equilibrium for generalized games in \(H\)-spaces
zbMATH Open document ID: 1168.91333
DOI: 10.1016/S0893-9659(02)00150-7
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: This paper a fixed point theorem extended Kakutani's fixed point theorem to \(H\)-spaces, and not requiring utility functions be continuous or inverse images be open as some other fixed point theorems for \(H\) spaces do. It is applied to prove existence of equilibria in generalized games.
Mathematics Subject Classification ID: 91A44
zbMATH DE Number: 1878934
zbMATH Keywords: \(H\)-space
zbMATH Keywords: upper semicontinuous
zbMATH Keywords: fixed point
zbMATH Keywords: generalized game
zbMATH Keywords: equilibria.
author: Jicheng Hou
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
cites work: Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
cites work: Contractibility and generalized convexity
cites work: Approximate selection theorems in \(H\)-spaces with applications
cites work: Approximate selections, fixed points, almost fixed points of multivalued mappings and generalized quasi-variational inequalities in -spaces
cites work: Fixed point theorems in locally H-convex uniform spaces
cites work: Q4022832
cites work: New generalisations of an H-KKM type theorem and their applications
cites work: Q4675530
cites work: Almost fixed point and best approximations theorems in H-spaces
cites work: Some selection theorems without convexity
cites work: The maximum theorem and the existence of Nash equilibrium of (generalized) games without lower semicontinuities
description: scientific article; zbMATH DE number 1878934