Fixed points via a generalized local commutativity: the compact case

Gerald F. Jungck

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-8

Abstract:

In an earlier paper, the concept of semigroups of self-maps which are nearly commutative at a function g : X → X was introduced. We now continue the investigation, but with emphasis on the compact case. Fixed-point theorems for such semigroups are obtained in the setting of semimetric and metric spaces.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:389509

DOI: 10.1155/S0161171203107077

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