A STRONG CONVERGENCE THEOREM FOR COUNTABLE FAMILIES OF NONLINEAR NONSELF MAPPINGS IN HILBERT SPACES AND APPLICATIONS

被引：0
|
作者：
Kawasaki, Toshiharu [1 ,2 ]
Takahashi, Wataru [3 ,4 ,5 ,6 ]
机构：
[1] Nihon Univ, Coll Engn, Fukushima 9638642, Japan
[2] Tamagawa Univ, Fac Engn, Tokyo 1948610, Japan
[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan
[4] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
[5] Keio Univ, Keio Res & Educ Ctr Nat Sci, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan
[6] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 04期
基金：
日本学术振兴会;
关键词：
Fixed point; generalized demimetric; demimetric mapping; widely more generalized hybrid mapping; generalized hybrid mapping; inverse strongly monotone mapping; monotone mapping; strict pseudo-contraction; FIXED-POINT THEOREMS; GENERALIZED HYBRID MAPPINGS; MAXIMAL MONOTONE-OPERATORS; APPROXIMATION; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In [17] Takahashi introduced the concept of demimetric mappings in Banach spaces and Alsulami and Takahashi [2] showed strong convergence theorems for demimetric mappings in Hilbert spaces. On the other hand, in [7] Kawasaki and Takahashi introduced the concept of widely more generalize hybrid mappings in Hilbert spaces. A widely more generalize hybrid mapping is not demimetric generally even if the set of fixed points of the mapping is nonempty. In this paper, we extend the class of demimetric mappings to a more broad class of mappings in Banach spaces and prove a strong convergence theorem applicable to the class of widely more generalized hybrid mappings in Hilbert spaces. Using this result, we obtain strong convergence theorems which are connected to the class of widely more generalized hybrid mappings in Hilbert spaces.
引用
收藏
页码：543 / 560
页数：18
相关论文
共 50 条
12345