Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces

Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces

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 poin...

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Bibliographic Details
Main Authors: Xuejiao Zi, Zhaoli Ma, Wei-Shih Du
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Mathematics
Subjects:
strong convergence
generalized split feasibility problem
fixed point problem
equilibrium problem
split common fixed point problem
Online Access:https://www.mdpi.com/2227-7390/8/6/892
Description
Summary: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.
ISSN:2227-7390

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