Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 319804, 12 pages
doi:10.1155/2009/319804
Research Article

Some Sufficient Conditions for Fixed Points of Multivalued Nonexpansive Mappings

Zhanfei Zuo1,2 and Yunan Cui1,2

1Department of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou 404000, China
2Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China

Received 2 July 2009; Accepted 3 December 2009

Academic Editor: Hichem Ben-El-Mechaiekh

Copyright © 2009 Zhanfei Zuo and Yunan Cui. 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 show some sufficient conditions on a Banach space X concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbagănu constant, the coefficient ε˜0(X), the weakly convergent sequence coefficient WCS(X), and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theorems improve some previous results in the recent papers.