STRONGLY CONVERGENT ITERATIVE METHODS FOR SPLIT EQUALITY VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES

被引：22
|
作者：
Chang, Shih-sen [1 ]
Wang, Lin [2 ]
Qin, Lijuan [3 ]
Ma, Zhaoli [4 ]
机构：
[1] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Peoples R China
[3] Kunming Univ, Dept Math, Kunming 650214, Peoples R China
[4] Yunnan Normal Univ, Coll Arts & Sci, Sch Informat Engn, Kunming 650222, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 06期
基金：
中国国家自然科学基金;
关键词：
the split equality variational inclusion problem in Banach space; split feasibility problem in Banach space; split equilibrium problem in Banach spaces; FEASIBILITY PROBLEMS; OPEN QUESTION; CQ-ALGORITHM; THEOREMS; SETS;
D O I：
10.1016/S0252-9602(16)30096-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to introduce and study the split equality variational inclusion problems in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Under suitable conditions, some strong convergence theorems for the sequences generated by the proposed algorithm are proved. As applications, we shall utilize the results presented in the paper to study the split equality feasibility problems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new.
引用
收藏
页码：1641 / 1650
页数：10
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