STRONGLY CONVERGENT ITERATIVE METHODS FOR SPLIT EQUALITY VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES
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 generate...
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| Veröffentlicht in: | Acta mathematica scientia 2016-11, Vol.36 (6), p.1641-1650 |
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| container_title | Acta mathematica scientia |
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| creator | 张石生 王林 秦丽娟 马招丽 |
| description | 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 prob- lems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new. |
| doi_str_mv | 10.1016/S0252-9602(16)30096-0 |
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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 prob- lems in Banach spaces and the split equality equilibrium problem in Banach spaces. 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| ispartof | Acta mathematica scientia, 2016-11, Vol.36 (6), p.1641-1650 |
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| source | Elsevier ScienceDirect Journals; Alma/SFX Local Collection |
| subjects | 47H09 47J25 65K10 split equilibrium problem in Banach spaces split feasibility problem in Banach space the split equality variational inclusion problem in Banach space 分裂 变分包含 均衡问题 巴拿赫空间 强收敛定理 相等 迭代方法 迭代算法 |
| title | STRONGLY CONVERGENT ITERATIVE METHODS FOR SPLIT EQUALITY VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES |
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