A Tseng-type algorithm for approximating zeros of monotone inclusion and J-fixed-point problems with applications

Autor:	Abubakar Adamu, Poom Kumam, Duangkamon Kitkuan, Anantachai Padcharoen
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Zeros J-fixed point Convex minimization Image restoration Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Zdroj:	Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2023, Iss 1, Pp 1-23 (2023)
Druh dokumentu:	article
ISSN:	2730-5422
DOI:	10.1186/s13663-023-00741-2
Popis:	Abstract In this paper, a Halpern–Tseng-type algorithm for approximating zeros of the sum of two monotone operators whose zeros are J-fixed points of relatively J-nonexpansive mappings is introduced and studied. A strong convergence theorem is established in Banach spaces that are uniformly smooth and 2-uniformly convex. Furthermore, applications of the theorem to convex minimization and image-restoration problems are presented. In addition, the proposed algorithm is used in solving some classical image-recovery problems and a numerical example in a Banach space is presented to support the main theorem. Finally, the performance of the proposed algorithm is compared with that of some existing algorithms in the literature.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4b0d155d857c48ebb3d0363e40937f7b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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