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

Copyright © 1993 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.

Abstract

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