STRONG CONVERGENCE THEOREMS OF HALPERN'S TYPE FOR NORMALLY 2-GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES

被引：0
|
作者：
Kondo, Atsumasa [1 ]
Takahashi, Wataru [2 ,3 ,4 ,5 ]
机构：
[1] Shiga Univ, Dept Econ, Banba 1-1-1, Hikone, Shiga 5220069, Japan
[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan
[3] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
[4] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[5] 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：
Attractive point; fixed point; normally 2-generalized hybrid mapping; Halpern's iteration; FIXED-POINTS; NONLINEAR MAPPINGS; WEAK; APPROXIMATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper establishes two types of strong convergence theorems of finding attractive points of nonlinear mappings in Hilbert spaces. Sequences that are constructed in the Halpern's type iteration converge strongly to attractive points of normally 2-generalized hybrid mappings. These theorems are proved without assuming that the domain of the mapping is closed. Same types of results regarding fixed points are also demonstrated by additionally supposing that the domain of the mapping is closed. Our results extend many existing results in the literature.
引用
收藏
页码：617 / 631
页数：15
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