International Journal of Mathematics and Mathematical Sciences 
Volume 16 (1993), Issue 3, Pages 417-428
doi:10.1155/S0161171293000535

Some fixed point theorems for compatible maps

G. jungck1 and B. E. Rhoades2

 1Department of Mathematics, Bradley University, Peoria 61625, Illinois, USA
2Department of Mathematics, Indiana University, Bloomington 47405, Indiana, USA
Received 19 November 1991; Revised 29 April 1992

Abstract

A collection of fixed point theorems is generalized by replacing hypothesized commutativity or weak commutativity of functions involved by compatibility.