Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces

Mathematics

Xuejiao Zi¹  Wei-Shih Du²  Zhaoli Ma³ 

[1] Department of General Education, The College of Arts and Sciences, Yunnan Normal University, Kunming 650222, Yunnan, China;Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan;Division of Research Administration, The College of Arts and Sciences, Yunnan Normal University, Kunming 650222, Yunnan, China;

关键词: strong convergence;    generalized split feasibility problem;    fixed point problem;    equilibrium problem;    split common fixed point problem;   

DOI  :  10.3390/math8060892

来源: DOAJ

【 摘 要 】

In this paper, we establish new strong convergence theorems of proposed algorithms under suitable new conditions for the generalized split feasibility problem in Banach spaces. As applications, new strong convergence theorems for equilibrium problems, fixed point problems and split common fixed point problems are also studied. Our new results are distinct from recent results on the topic in the literature.

【 授权许可】

Unknown