Fixed points via a generalized local commutativity

Gerald F. Jungck

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-11

Abstract:

Let g : X → X . The concept of a semigroup of maps which is nearly commutative at g is introduced. We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and others.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:159582

DOI: 10.1155/S0161171201005312

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