Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces

Fixexd point theory and applications

Fumiaki Kohsaka¹  Koji Aoyama² 

[1] Department of Computer Science and Intelligent Systems, Oita University, Oita, Japan;Department of Economics, Chiba University, Chiba, Japan

关键词: Hilbert Space;    Banach Space;    Equilibrium Problem;    Nonexpansive Mapping;    Existence Theorem;   

DOI  :  10.1155/2010/512751

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space. The class of mappings of type (P) contains the classes of resolvents of maximal monotone operators in Banach spaces and firmly nonexpansive mappings in Hilbert spaces.

【 授权许可】

CC BY