WEAK AND STRONG CONVERGENCE THEOREMS FOR WIDELY MORE GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES

被引：0

作者：

Hojo, Mayumi ^{[1
,2
]}

机构：

[1] Niigata Univ, Grad Sch Sci & Technol, Niigata 9518510, Japan

[2] Shibaura Inst Technol, Saitama, Japan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2013年 / 14卷 / 04期

关键词：

Fixed point; Hilbert space; mean; strongly asymptotically invariant sequence; strong convergence; weak convergence; widely more generalized hybrid mapping; FIXED-POINT THEOREMS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; BANACH-SPACES; 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 this paper, using strongly asymptotically invariant sequences, we first prove a weak convergence theorem of Mann's type [18] for widely more generalized hybrid mappings in a Hilbert space. Furthermore, using the idea of mean convergence by Shimizu and Takahashi [19, 20], we prove a strong convergence theorem of Halpern's type [6] for widely more generalized hybrid mappings in a Hilbert space. This theorem generalizes Hojo and Takahashi's strong convergence theorem [7] for generalized hybrid mappings.

引用

页码：795 / 805

页数：11

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