Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 74503, 7 pages
doi:10.1155/FPTA/2006/74503

Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition

Ismat Beg and Mujahid Abbas

Department of Mathematics and Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore 54792, Pakistan

Received 2 January 2006; Revised 14 February 2006; Accepted 22 February 2006

Copyright © 2006 Ismat Beg and Mujahid Abbas. 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 prove the existence of coincidence point and common fixed point for mappings satisfying generalized weak contractive condition. As an application, related results on invariant approximation are derived. Our results generalize various known results in the literature.