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

Authors

  • SEHIE 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

Issue

Vol. 4 No. 1 (2013): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.