Fixed points via a generalized local commutativity: the compact
case
Gerald F. Jungck1
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: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.