Approximation of Common Solutions for Proximal Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces

被引：0
|
作者：
Suanoom, Cholatis [1 ]
Khuangsatung, Wongvisarut [2 ]
机构：
[1] Kamphaeng Phet Rajabhat Univ, Fac Sci & Technol, Program Math, Kamphaeng Phet 62000, Thailand
[2] Rajamangala Univ Technol Thanyaburi, Fac Sci & Technol, Dept Math & Comp Sci, Pathum Thani 12110, Thailand
来源：
THAI JOURNAL OF MATHEMATICS | 2018年 / 16卷
关键词：
Fixed point problem; proximal split feasibility problems; quasi-nonexpansive mapping;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new iterative algorithm is proposed for finding the minimum-norm solution of a proximal split minimization problem and fixed point problem of quasi-nonexpansive mappings in Hilbert spaces. Under suitable conditions, it is proved that the sequence generated by the proposed algorithm converges strongly to a common solution of the two above described problems. The iterative algorithm are proposed in such a way that the selection of the step-sizes does not need any prior information about the operator norm.
引用
收藏
页码：168 / 183
页数：16
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