New inertial relaxed method for solving split feasibilities

• Published in: Optimization letters Vol. 15; no. 6; pp. 2109 - 2126
• Main Authors: Shehu, Yekini, Gibali, Aviv
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
• Subjects: Computational Intelligence; Mathematics; Mathematics and Statistics; Numerical and Computational Physics; Operations Research/Decision Theory; Optimization; Original Paper; Simulation; Signal processing; Alternated inertial; CQ methods; Split feasibility problems

In this paper, we introduce a relaxed CQ method with alternated inertial step for solving split feasibility problems. We give convergence of the sequence generated by our method under some suitable assumptions. Some numerical implementations from sparse signal and image deblurring are reported to sh...