International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 4, Pages 801-804

Remarks on recent fixed point theorems for compatible maps

S. L. Singh,1 V. Chadha,2 and S. N. Mishra3

1Department of Mathematics, Gurukula Kangri University, Hardwar 249404, India
2Department of Mathematics, University of Wisconsin, Eau Claire 54702, WI, USA
3Department of Mathematics, Private Bag XI Unitra, Umtata Republic of Transkei, South Africa

Received 22 November 1994; Revised 3 August 1995

Copyright © 1996 S. L. Singh 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.


Following Gerald Jungck's formulation of compatibility of maps, several interesting fixed point theorems for such maps have been obtained, wherein at least one of the maps is continuous. The main purpose of this note is to avoid the continuity condition from some of the main results of Jungck et al.