Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi-equilibrium theorems. These quasi-equilibrium theorems are applied to give sim...

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Bibliographic Details
Main Author: Sehie Park
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Multimap (map)
closed map
compact map
upper semicontinuous (u.s.c.)
lower semicontinuous (l.s.c.)
acyclic map
quasiconcave
quasiconvex
admissible subset of a topological vector space (t.v.s.)
fixed point
convex space
polytope
quasi-equilibrium problem
variational inequality
economic equilibrium theorem
abstract economy
equilibrium point
maximal point.
Online Access:http://dx.doi.org/10.1155/S0161171200002593
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http://dx.doi.org/10.1155/S0161171200002593

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