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

作　　者：张石生 王林 秦丽娟 马招丽 

机构地区：[1]Center for General Education,China Medical University [2]College of Statistics and Mathematics,Yunnan University of Finance and Economics [3]Department of Mathematics,Kunming University [4]School of Information Engineering,College of Arts and Science Yunnan Normal University

出　　处：《Acta Mathematica Scientia》2016年第6期1641-1650,共10页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11361070);the Natural Science Foundation of China Medical University,Taiwan

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 prob- lems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new.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.

关 键 词：the split equality variational inclusion problem in Banach space split feasibilityproblem in Banach space split equilibrium problem in Banach spaces 

分 类 号：O177.2[理学—数学] O177.91[理学—基础数学]