Some geometric conditions which imply the fixed point property for multivalued nonexpansive mappings

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:339

Article

Gavira, B.

关键词: multivalued nonexpansive mapping;    fixed point;    normal structure;    modulus of smoothness;    coefficient of weak orthogonality;    James constant;    Jordan-von Neumann constant;   

DOI  :  10.1016/j.jmaa.2007.07.015

来源: Elsevier

【 摘 要 】

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. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free