International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 131068, 9 pages
doi:10.1155/2009/131068
Research Article

Common Fixed Point Theorem of Two Mappings Satisfying a Generalized Weak Contractive Condition

Department of Mathematics, Lahore University of Management Sciences, Lahore 54792, Pakistan

Received 6 August 2009; Accepted 11 November 2009

Academic Editor: Evgeny Korotyaev

Copyright © 2009 M. Abbas and M. Ali 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

Existence of common fixed point for two mappings which satisfy a generalized weak contractive condition is established. As a consequence, a common fixed point result for mappings satisfying a contractive condition of integral type is obtained. Our results generalize, extend, and unify several well-known comparable results in literature.