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Open AccessArticle

Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces

by Xuejiao Zi 1, Zhaoli Ma 2,3 and Wei-Shih Du 4,*
1
Department of General Education, The College of Arts and Sciences, Yunnan Normal University, Kunming 650222, Yunnan, China
2
Division of Research Administration, The College of Arts and Sciences, Yunnan Normal University, Kunming 650222, Yunnan, China
3
College of Public Foundation, Yunnan Open University (Yunnan Technical College of National Defence Industry), Kunming 650500, China
4
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(6), 892; https://doi.org/10.3390/math8060892
Received: 9 May 2020 / Revised: 23 May 2020 / Accepted: 25 May 2020 / Published: 2 June 2020
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. View Full-Text
Keywords: strong convergence; generalized split feasibility problem; fixed point problem; equilibrium problem; split common fixed point problem strong convergence; generalized split feasibility problem; fixed point problem; equilibrium problem; split common fixed point problem
MDPI and ACS Style

Zi, X.; Ma, Z.; Du, W.-S. Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces. Mathematics 2020, 8, 892.

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