Fixed Point Theory and Applications
Volume 2005 (2005), Issue 3, Pages 281-294
doi:10.1155/FPTA.2005.281

Fixed point theorems for a family of hybrid pairs of mappings in metrically convex spaces

M. Imdad and Ladlay Khan

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Received 30 December 2004; Revised 24 March 2005

Copyright © 2005 M. Imdad and Ladlay Khan. 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

The present paper establishes some coincidence and common fixed point theorems for a sequence of hybrid-type nonself-mappings defined on a closed subset of a metrically convex metric space. Our results generalize some earlier results due to Khan et al. (2000), Itoh (1977), Khan (1981), Ahmad and Imdad (1992 and 1998), and several others. Some related results are also discussed.