Coincidence and common fixed point theorems in compact Hausdorff spaces

Zeqing Liu, Haiyan Gao, Shin Min Kang and Yong Soo Kim

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-9

Abstract:

The existence of coincidence and fixed points for continuous mappings in compact Hausdorff spaces is established. Some equivalent conditions of the existence of fixed and common fixed points for any continuous mapping and a pair of mappings in compact Hausdorff spaces are given, respectively. Our results extend, improve, and unify the corresponding results due to Jungck, Liu, and Singh and Rao.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:158481

DOI: 10.1155/IJMMS.2005.845

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