International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 32, Pages 2027-2034
doi:10.1155/S0161171203107077

Fixed points via a generalized local commutativity: the compact case

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.