Article ID Journal Published Year Pages File Type
4621649 Journal of Mathematical Analysis and Applications 2008 11 Pages PDF
Abstract

We show some geometric conditions on a Banach space X concerning the modulus of smoothness, the coefficient of weak orthogonality, the coefficient R(a,X), the James constant and the Jordan–von Neumann constant, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theorems improve some previous results and give affirmative answers to some open questions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis