Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 784578, 9 pages
doi:10.1155/2010/784578
Research Article

Best Approximations Theorem for a Couple in Cone Banach Space

Erdal Karapınar1 and Duran Türkoğlu2

1Department of Mathematics, Atılım University, 06836 Incek, Ankara, Turkey
2Department of Mathematics, Gazi University, 06500 Teknikokullar, Ankara, Turkey

Received 23 March 2010; Accepted 8 June 2010

Academic Editor: A. T. M. Lau

Copyright © 2010 Erdal Karapınar and Duran Türkoğlu. 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

The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham, (2006). In this manuscript, some result of Mitrović, (2010) extended to the class of cone Banach spaces.