Convergence analysis of a Halpern-like iterative algorithm in Hilbert spaces

Volume 10, Issue 8, pp 4143--4149

Publication Date: 2017-08-10

http://dx.doi.org/10.22436/jnsa.010.08.10

Authors

Yunpeng Zhang - College of Electric Power, North China University of Water Resources and Electric Power, Zhengzhou 450011, China.
Sun Young Cho - Center for General Education, China Medical University, Taichung 40402, Taiwan.

Abstract

In this paper, a Halpern-like iterative algorithm is investigated for finding a solution of a split feasibility problem and a solution to a nonexpansive operator equation. Strong convergence theorems are established in the framework of infinite dimensional Hilbert spaces.

Keywords

Convergence analysis, Hilbert space, monotone mapping, split feasibility problem.

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