A novel algorithm with an inertial technique for fixed points of nonexpansive mappings and zeros of accretive operators in Banach spaces

Autor: Kaiwich Baewnoi, Damrongsak Yambangwai, Tanakit Thianwan
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 3, Pp 6424-6444 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024313?viewType=HTML
Popis: The purpose of this paper was to prove that a novel algorithm with an inertial approach, used to generate an iterative sequence, strongly converges to a fixed point of a nonexpansive mapping in a real uniformly convex Banach space with a uniformly Gâteaux differentiable norm. Furthermore, zeros of accretive mappings were obtained. The proposed algorithm has been implemented and tested via numerical simulation in MATLAB. The simulation results showed that the algorithm converges to the optimal configurations and shows the effectiveness of the proposed algorithm.
Databáze: Directory of Open Access Journals