Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 562130, 9 pages
doi:10.1155/2008/562130
Research Article

On Coincidence and Fixed-Point Theorems in Symmetric Spaces

Seong-Hoon Cho,1 Gwang-Yeon Lee,1 and Jong-Sook Bae2

1Department of Mathematics, Hanseo University, Chungnam 356-706, South Korea
2Department of Mathematics, Moyngji University, Youngin 449-800, South Korea

Received 28 August 2007; Revised 4 February 2008; Accepted 5 March 2008

Academic Editor: Lech Gorniewicz

Copyright © 2008 Seong-Hoon Cho 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 give an axiom (C.C) in symmetric spaces and investigate the relationships between (C.C) and axioms (W3), (W4), and (H.E). We give some results on coinsidence and fixed-point theorems in symmetric spaces, and also, we give some examples for the results of Imdad et al. (2006).