Quasi-equilibrium problems with applications to infinite optimization and constrained games in general topological spaces

Authors
Citation
Xp. Ding, Quasi-equilibrium problems with applications to infinite optimization and constrained games in general topological spaces, APPL MATH L, 13(3), 2000, pp. 21-26
Citations number
11
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
13
Issue
3
Year of publication
2000
Pages
21 - 26
Database
ISI
SICI code
0893-9659(200004)13:3<21:QPWATI>2.0.ZU;2-H
Abstract
By applying a new Fan-Browder type fixed point point theorem due to author, an existence theorem of quasi-equilibrium problem is proved in general top ological space. As applications, some existence theorems of solutions for n oncompact infinite optimization problems and noncompact constrained game pr oblems are obtained in general topological spaces. These theorems improve a nd generalize a number of important results in recent literature. (C) 2000 Elsevier Science Ltd. All rights reserved.