A GENESIS OF GENERAL KKM THEOREMS FOR ABSTRACT CONVEX SPACES: REVISITED

Authors

  • S. Park Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea

Keywords:

Abstract convex space, (partial) KKM principle, (partial) KKM space

Abstract

In our previous work [4], we obtained three general KKM type theorems A, B, and C for abstract convex spaces. In this paper, we show that these three theorems are mutually equivalent. Actually, by adopting a method of making new abstract convex spaces from old, we give a direct proof of Theorem C from Theorem B.

Additional Files

Published

03/29/2013

How to Cite

Park, S. (2013). A GENESIS OF GENERAL KKM THEOREMS FOR ABSTRACT CONVEX SPACES: REVISITED. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 4(1), 127–132. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2693

Issue

Section

Research Articles