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Coincidence and fixed point theorems for functions in -KKM class on generalized convex spaces

Abstract

We establish a coincidence theorem in -KKM class by means of the basic defining property for multifunctions in -KKM. Based on this coincidence theorem, we deduce some useful corollaries and investigate the fixed point problem on uniform spaces.

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Correspondence to Tian-Yuan Kuo.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kuo, TY., Huang, YY., Jeng, JC. et al. Coincidence and fixed point theorems for functions in -KKM class on generalized convex spaces. Fixed Point Theory Appl 2006, 72184 (2006). https://doi.org/10.1155/FPTA/2006/72184

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  • DOI: https://doi.org/10.1155/FPTA/2006/72184

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