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

共 50 条

[31] STRONG CONVERGENCE THEOREMS BY HYBRID METHODS FOR SEMIGROUPS OF NOT NECESSARILY CONTINUOUS MAPPINGS IN HILBERT SPACES
Takahashi, Wataru
Tsukada, Makoto
ANNALS OF FUNCTIONAL ANALYSIS, 2016, 7 (01): : 61 - 75
[32] Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces
Guu, Sy-Ming
Takahashi, Wataru
ABSTRACT AND APPLIED ANALYSIS, 2013,
[33] Weak and strong convergence theorems for a new class of enriched strictly pseudononspreading mappings in Hilbert spaces
Agwu, Imo Kalu
Isik, Huseyin
Igbokwe, Donatus Ikechi
FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2024, 2024 (01):
[34] Weak convergence theorems of a hybrid algorithm in Hilbert spaces
Hao, Yan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014, : 1 - 13
[35] Weak convergence theorems of a hybrid algorithm in Hilbert spaces
Yan Hao
Journal of Inequalities and Applications, 2014
[36] FIXED POINT THEOREMS AND CONVERGENCE THEOREMS FOR GENERALIZED HYBRID NON-SELF MAPPINGS IN HILBERT SPACES
Hojo, Mayumi
Suzuki, Takamasa
Takahashi, Wataru
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2013, 14 (02) : 363 - 376
[37] Weak and strong convergence theorems for nonexpansive mappings in Banach spaces
Zhao, Jing
He, Songnian
Su, Yongfu
FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
[38] Weak and strong convergence theorems for nonexpansive mappings in Banach spaces
Suzuki, T
Takahashi, W
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (04) : 2805 - 2815
[39] Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces
Jing Zhao
Songnian He
Yongfu Su
Fixed Point Theory and Applications, 2008
[40] Uniform mean convergence theorems for hybrid mappings in Hilbert spaces
Koji Aoyama
Fumiaki Kohsaka
Fixed Point Theory and Applications, 2012

← 1 2 3 4 5 →