STRONG CONVERGENCE THEOREMS BY HYBRID METHODS FOR GENERIC SKEW 2-GENERALIZED NONSPREADING MAPPINGS IN BANACH SPACES

被引：0

作者：

Takahashi, Wataru ^{[1
,2
,3
]}

机构：

[1] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40447, Taiwan

[2] Keio Univ, Keio Res & Educ Ctr Nat Sci, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan

[3] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 11期

关键词：

Fixed point; skew-generalized nonspreading mapping; hybrid method; shrinking projection method; FIXED-POINT THEOREMS; MAXIMAL MONOTONE-OPERATORS; PROXIMAL-TYPE ALGORITHM; NONLINEAR MAPPINGS; NONEXPANSIVE-MAPPINGS; ASYMPTOTIC-BEHAVIOR; SEMIGROUPS; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the hybrid method defined by Nakajo and Takahashi [19], we first obtain a strong convergence theorem for two noncommutative generic skew 2-generalized nonspreading mappings in a Banach space. Next, using the shrinking projection method defined by Takahashi, Takeuchi and Kubota [26], we prove another strong convergence theorem for the mappings in a Banach space. Using these results, we get well-known and new strong convergence theorems by the hybrid method and the shrinking projection method in a Hilbert space and a Banach space.

引用

页码：2425 / 2446

页数：22

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