International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 1, Pages 125-132
doi:10.1155/S0161171298000167

Fixed point theorems for semi-groups of self maps of semi-metric spaces

G. Jungck

 Department of Mathematics, Bradley University, Peoria 61625, IL, USA
Received 2 May 1996; Revised 2 January 1997

Abstract

We use selected semi-groups of self maps of a semi-metric space to obtain fixed point theorems for single maps and for families of maps—theorems which generalize results by Browder, Jachymski, Rhoades and Waiters, and others. A basic tool in our approach is the concept of commuting maps.