Fixed points and quasi-equilibrium problems

Authors:
S. Park
Affiliations:
Department of Mathematics Seoul National University Seoul 151-742, Korea
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

Citing 2
Cited 1

Acyclic maps, minimax inequalities and fixed points

Nonlinear Analysis: Theory, Methods & Applications
Fixed points of acyclic maps on topological vector spaces

WCNA '92 Proceedings of the first world congress on World congress of nonlinear analysts, volume III

Remarks on generalized quasi-equilibrium problems

Nonlinear Analysis: Theory, Methods & Applications

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Abstract

A fixed-point theorem for compact acyclic maps defined on convex subsets of not-necessarily locally convex topological vector spaces is applied to the existence of solutions of quasi-equilibrium problems. Such existence theorems extend known ones which were used for unified approaches to quasi-variational inequalities in [1-5] and others.