International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 389509 | https://doi.org/10.1155/S0161171203107077

Gerald F. Jungck, "Fixed points via a generalized local commutativity: the compact case", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 389509, 8 pages, 2003. https://doi.org/10.1155/S0161171203107077

Fixed points via a generalized local commutativity: the compact case

Received19 Jul 2001
Revised06 Aug 2002

Abstract

In an earlier paper, the concept of semigroups of self-maps which are nearly commutative at a function g:XX 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.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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