Halpern-Type Inertial Iteration Methods with Self-Adaptive Step Size for Split Common Null Point Problem

Autor:	Ahmed Alamer, Mohammad Dilshad
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	split common null point problem Halpern inertial self adaptive algorithms strong convergence Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 5, p 747 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12050747
Popis:	In this paper, two Halpern-type inertial iteration methods with self-adaptive step size are proposed for estimating the solution of split common null point problems (SpCNPP) in such a way that the Halpern iteration and inertial extrapolation are computed simultaneously in the beginning of each iteration. We prove the strong convergence of sequences driven by the suggested methods without estimating the norm of bounded linear operator when certain appropriate assumptions are made. We demonstrate the efficiency of our iterative methods and compare them with some related and well-known results using relevant numerical examples.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/58b4a5b9514b473cb7c60299516e1a04 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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