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.
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页码：795 / 805
页数：11
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