International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 891375, 8 pages
doi:10.1155/2008/891375
Research Article
Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition
Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy
Received 21 May 2008; Accepted 3 September 2008
Academic Editor: Wolfgang Kuehnel
Copyright © 2008 Cristina Di Bari and Calogero Vetro. 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 introduce a new generalized contractive condition for
four mappings in the framework of metric space. We give some common fixed point
results for these mappings and we deduce a fixed point result for weakly compatible
mappings satisfying a contractive condition of integral type.