International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 11, Pages 625-636
Some fixed point theorems in metric and -metric spaces
Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India
Received 31 July 2000
Copyright © 2001 S. Venkata Ratnam Naidu. 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.
We introduce the notion of compatibility for a pair of self-maps
on a -metric space and we have fixed point theorems for pairs
as well as quadruples of self-maps on a -metric space satisfying certain generalised contraction conditions. Further
metric space versions of the same have also been obtained.