Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 604084, 9 pages
doi:10.1155/2010/604084
Research Article

Fixed Point in Topological Vector Space-Valued Cone Metric Spaces

Akbar Azam,1 Ismat Beg,2 and Muhammad Arshad3

1Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan
2Department of Mathematics, Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore, Pakistan
3Department of Mathematics, International Islamic University, Islamabad, Pakistan

Received 16 December 2009; Accepted 2 June 2010

Academic Editor: Jerzy Jezierski

Copyright © 2010 Akbar Azam 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 obtain common fixed points of a pair of mappings satisfying a generalized contractive type condition in TVS-valued cone metric spaces. Our results generalize some well-known recent results in the literature.