International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 2, Pages 289-296
doi:10.1155/S0161171288000353
On some weak conditions of commutativity in common fixed point theorems
1Aligarh Muslim University, Department of Mathematics, Aligarh 202001, India
2King Abdul Aziz University, Faculty of Science, Department of Mathematics, Jeddah 21413, Saudi Arabia
3Universita' di Napoli, Facolta' di Architettura, Istituto Matematico Via Monteoliveto 3, Napoli 80134, Italy
Received 2 September 1986; Revised 4 December 1986
Copyright © 1988 M. Imdad et al. 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
We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each of the others.