A Modified Iterative Algorithm for Split Feasibility Problems of Right Bregman Strongly Quasi-Nonexpansive Mappings in Banach Spaces with Applications

被引：5
|
作者：
Padcharoen, Anantachai [1 ,2 ]
Kumam, Poom [1 ,2 ]
Cho, Yeol Je [3 ,4 ]
Thounthong, Phatiphat [5 ,6 ]
机构：
[1] KMUTT, KMUTT Fixed Point Theory & Optimizat Res Grp KMUT, TaCS, Fac Sci, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand
[2] KMUTT, KMUTTFixed Point Res Lab, Dept Math, Fixed Point Lab,Fac Sci, Room SCL 802,Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand
[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[4] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[5] KMUTNB, Renewable Energy Res Ctr, Bangkok 10800, Thailand
[6] KMUTNB, Dept Teacher Training Elect Engn, Fac Tech Educ, Bangkok 10800, Thailand
来源：
ALGORITHMS | 2016年 / 9卷 / 04期
关键词：
right Bregman strongly quasi-nonexpansive; split feasibility problem; fixed point;
D O I：
10.3390/a9040075
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we present a new iterative scheme for finding a common element of the solution set F of the split feasibility problem and the fixed point set F (T) of a right Bregman strongly quasi-nonexpansive mapping T in p-uniformly convex Banach spaces which are also uniformly smooth. We 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. Furthermore, we give some examples and applications to illustrate our main results in this paper. Our results extend and improve the recent ones of some others in the literature.
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收藏
页数：18
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