A regularization algorithm for a splitting feasibility problem in Hilbert spaces

Volume 10, Issue 7, pp 3856--3862 http://dx.doi.org/10.22436/jnsa.010.07.40

Publication Date: July 27, 2017 Submission Date: May 14, 2017

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Authors

Abdul Latif - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah-21589, Saudi Arabia. Xiaolong Qin - Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan, China.

Abstract

In this article, we investigate a split feasibility problem via a regularization iterative algorithm. Strong convergence theorems of solutions for the split feasibility are established in the framework of Hilbert spaces. We also apply our main results to the split equality problem.

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Keywords

• Metric projection
• monotone operator
• nonexpansive mapping
• split feasibility problem
• variational inequality.

MSC

•  47H05
•  47H09
•  90C33

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