Paper
A New Intersection Theorem in Topological Spaces with the Application in Game Theory
- Authors:
- Kai Ting Wen
- Abstract
- In this paper, a new intersection theorem for weakly transfer compactly closed valued mappings is established in topological spaces. As applications, new variational inequalities, a fixed point theorem and a maximal element theorem are obtained in noncompact GFC-spaces. Our results unify, improve and generalize some known results in recent reference. Finally, equilibrium existence theorems for abstract economies and qualitative games in noncompact GFC-spaces are yielded.
- Keywords
- GFC-space; T-KKM Mapping; Variational Inequa-Lity; Fixed Point; Maximal Element; Abstract Economy; Equili-Brium
- StartPage
- 106
- EndPage
- 111
- Doi