PROXIMAL POINT METHODS FOR MONOTONE OPERATORS IN BANACH SPACES

作     者：Aoyama, Koji Kohsaka, Fumiaki Takahashi, Wataru 

作者机构：Chiba Univ Dept Econ Chiba 2638522 Japan Oita Univ Dept Comp Sci & Intelligent Syst Oita 8701192 Japan Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 1528552 Japan 

出 版 物：《TAIWANESE JOURNAL OF MATHEMATICS》 (Taiwanese J. Math.)

年 卷 期：2011年第15卷第1期

页      面：259-281页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Convex function Firmly nonexpansive-type mapping Fixed point Minimization Monotone operator Proximal point algorithm Uniformly convex Banach space Zero point 

摘      要：Some fundamental properties of resolvents of monotone operators in Banach spaces are investigated. Using them, we study the asymptotic behavior of the sequences generated by two modifications of the proximal point algorithm for monotone operators satisfying a range condition defined in Banach spaces.