An Inertial Relaxed CQ Algorithm with Two Adaptive Step Sizes and Its Application for Signal Recovery

Teeranush Suebcharoen, Raweerote Suparatulatorn, Tanadon Chaobankoh, Khwanchai Kunwai and Thanasak Mouktonglang ()
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Teeranush Suebcharoen: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Raweerote Suparatulatorn: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Tanadon Chaobankoh: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Khwanchai Kunwai: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Thanasak Mouktonglang: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Mathematics, 2024, vol. 12, issue 15, 1-16

Abstract: This article presents a novel inertial relaxed CQ algorithm for solving split feasibility problems. Note that the algorithm incorporates two adaptive step sizes here. A strong convergence theorem is established for the problem under some standard conditions. Additionally, we explore the utility of the algorithm in solving signal recovery problems. Its performance is evaluated against existing techniques from the literature.

Keywords: split feasibility problem; signal recovery problem; inertial technique; CQ algorithm; strong convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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