Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 408086, 17 pages
doi:10.1155/2010/408086
Research Article

Common Fixed Point Theorem for Non-Self Mappings Satisfying Generalized Ćirić Type Contraction Condition in Cone Metric Space

R. Sumitra,1 V. Rhymend Uthariaraj,2 R. Hemavathy,3 and P. Vijayaraju4

1Department of Mathematics, SMK Fomra Institute of Technology, Chennai-603 103, Tamilnadu, India
2Ramanujan Computing Centre, Anna University Chennai, Chennai-600 025, Tamilnadu, India
3Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai-600 089, Tamilnadu, India
4Department of Mathematics, Anna University Chennai, Chennai-600 025, Tamilnadu, India

Received 27 November 2009; Revised 21 February 2010; Accepted 9 March 2010

Academic Editor: Naseer Shahzad

Copyright © 2010 R. Sumitra et al. 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 common fixed point theorem for coincidentally commuting nonself mappings satisfying generalized contraction condition of Ćirić type in cone metric space. Our results generalize and extend all the recent results related to non-self mappings in the setting of cone metric space.