DOI: 10.24193/fpt-ro.2024.1.27

Authors: Zheng Zhou, Bing Tan and Songxiao Li

Abstract: The purpose of this paper is concerned with the approximate solution of split equality problems. Two types of CQ algorithms with a new self-adaptive stepsize criterion are presented without prior knowledge of operator norms. The corresponding strong convergence theorems are obtained under mild conditions. Moreover, some numerical examples including an application in signal recovery problems, are provided to show the effectiveness of the proposed algorithms.

Key Words and Phrases: Halpern-type algorithm, viscosity-type algorithm, self-adaptive stepsize, split equality problem, strong convergence theorem, fixed point.

2010 Mathematics Subject Classification: 47H10, 49M20, 65Y10, 90C25.

Published on-line: February 1st, 2024.

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