An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces

被引：65
|
作者：
Shehu, Y. [1 ]
Iyiola, O. S. [2 ]
Enyi, C. D. [3 ]
机构：
[1] Univ Nigeria, Dept Math, Nsukka, Nigeria
[2] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA
[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dammam, Saudi Arabia
来源：
NUMERICAL ALGORITHMS | 2016年 / 72卷 / 04期
关键词：
Strong convergence; Split feasibility problem; Uniformly convex; Uniformly smooth; Fixed point problem; Left Bregman strongly nonexpansive mappings; NONEXPANSIVE OPERATORS; CQ ALGORITHM; SETS; PROJECTION; THEOREMS;
D O I：
10.1007/s11075-015-0069-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to study split feasibility problems and fixed point problems concerning left Bregman strongly relatively nonexpansive mappings in p-uniformly convex and uniformly smooth Banach spaces. We suggest an iterative scheme for the problem and prove strong convergence theorem of the sequences generated by our scheme under some appropriate conditions in real p-uniformly convex and uniformly smooth Banach spaces. Finally, we give numerical examples of our result to study its efficiency and implementation. Our result complements many recent and important results in this direction.
引用
收藏
页码：835 / 864
页数：30
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