Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces

Xuejiao Zi, Zhaoli Ma and Wei-Shih Du
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Xuejiao Zi: Department of General Education, The College of Arts and Sciences, Yunnan Normal University, Kunming 650222, Yunnan, China
Zhaoli Ma: Division of Research Administration, The College of Arts and Sciences, Yunnan Normal University, Kunming 650222, Yunnan, China
Wei-Shih Du: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

Mathematics, 2020, vol. 8, issue 6, 1-13

Abstract: 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.

Keywords: strong convergence; generalized split feasibility problem; fixed point problem; equilibrium problem; split common fixed point problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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