Volume no :1, Issue no: 1, April 2008

Journal of Mathematical Sciences: Advances and Applications

ON SOME PARAMETERS AND THE FIXED POINT PROPERTY FOR MULTIVALUED NONEXPANSIVE MAPPINGS

Author's: Zhanfei Zuo and Yunan Cui
Pages: [183] - [199]
Received Date: April 2, 2008
Submitted by:

Abstract

Let X be a Banach Space, we consider the relationship between the weakly convergent sequence coefficient WCS(X) and some well known moduli and parameters, and get some sufficient conditions for normal structure in this paper, which generalized Gao’s some results, moreover some of which also imply the existence of fixed point for multivalued nonexpansive mappings.

Keywords

modulus of convexity, modulus of smoothness, Milman’s modulus, Normal structure, weakly convergent sequence coefficient, multivalued nonexpansive mapping.