An inertial triple-projection algorithm for solving the split feasibility problem

This paper proposes a new inertial triple-projection algorithm for solving the split feasibility problem. The process of projections is divided into three parts. Each part adopts a different variable stepsize to obtain its projection point, which is different from the existing extragradient methods....

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Bibliographic Details
Main Authors: Dang, Y., Ang, M., Sun, Jie
Format: Journal Article
Language:English
Published: AMER INST MATHEMATICAL SCIENCES-AIMS 2023
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/91421
Description
Summary:This paper proposes a new inertial triple-projection algorithm for solving the split feasibility problem. The process of projections is divided into three parts. Each part adopts a different variable stepsize to obtain its projection point, which is different from the existing extragradient methods. Flexible rules are employed for selecting the stepsizes and the inertial technique is used for improving the convergence. Convergence results are proven. Numerical experiments show that the proposed method converges more quickly than the general CQ algorithm.