Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 319804, 12 pages
doi:10.1155/2009/319804
Some sufficient conditions for fixed points of multivalued nonexpansive mappings
Zhanfei Zuo
and Yunan Cui
Department of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou 404000, China
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.