Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces

Downloads

Abstract

Various types of ðœ™A-spaces (X, D; {ðœ™A}A∈〈D〉) are simply G-convex spaces. Various types of generalized KKM maps on ðœ™A-spaces are simply KKM maps on G-convex spaces. Therefore, our G-convex space theory can be applied to various types of ðœ™A-spaces. As such examples, we obtain KKM type theorems and a very general fixed point theorem on ðœ™A-spaces.

Keywords

Abstract convex space , generalized (G-) convex space , 𝜙A-space , L-spaces , FC-spaces , property (H) , H-condition
  • Sehie Park The National Academy of Sciences, Republic of Korea, Department of Mathematical Sciences, Seoul National University, Seoul 151–747, Korea.
  • Pages: 1–13
  • Date Published: 2008-12-01
  • Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal

Downloads

Download data is not yet available.

Published

2008-12-01

How to Cite

[1]
S. Park, “Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces”, CUBO, vol. 10, no. 4, pp. 1–13, Dec. 2008.

Issue

Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal

Section

Articles