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

doi:10.1016/S0252-9602(16)30096-0

Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (6): 1641-1650.doi: 10.1016/S0252-9602(16)30096-0

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

Shisheng ZHANG¹, Lin WANG², Lijuan QIN³, Zhaoli MA⁴

1. Center for General Education, China Medical University, Taichung 40402, China;
2. College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China;
3. Department of Mathematics, Kunming University, Kunming 650214, China;
4. School of Information Engineering, College of Arts and Science Yunnan Normal University, Kunming 650222, China

Received:2015-07-17 Revised:2016-04-18 Online:2016-12-25 Published:2016-12-25
Contact: Shisheng ZHANG,E-mail:changss2013@163.com E-mail:changss2013@163.com
Supported by:
This work was supported by the National Natural Science Foundation of China (11361070) and the Natural Science Foundation of China Medical University, Taiwan.

Abstract

Abstract:

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.

Key words: the split equality variational inclusion problem in Banach space, split feasibility problem in Banach space, split equilibrium problem in Banach spaces

CLC Number:

47J25

Shisheng ZHANG, Lin WANG, Lijuan QIN, Zhaoli MA. STRONGLY CONVERGENT ITERATIVE METHODS FOR SPLIT EQUALITY VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES[J].Acta mathematica scientia,Series B, 2016, 36(6): 1641-1650.

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

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