Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces

Autor:	Montira Suwannaprapa
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	split feasibility problem fixed point problem maximal monotone operator convergence theorems Mathematics QA1-939
Zdroj:	Sahand Communications in Mathematical Analysis, Vol 19, Iss 4, Pp 1-24 (2022)
Druh dokumentu:	article
ISSN:	2322-5807 2423-3900
DOI:	10.22130/scma.2021.538539.985
Popis:	In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping. This algorithm is a modification of the method based on the inertial and Mann viscosity-type methods. By assuming the existence of solutions, we show the strong convergence theorems of the constructed sequences. Finally, we also apply the proposed algorithm to related problems in Hilbert spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4f51e2afe24a434083360042aeda8005 Zobrazit plný text záznamu View record in DOAJ