Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces

Autor: Ali Danish, Hussain Aftab, Karapinar Erdal, Cholamjiak Prasit
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Open Mathematics, Vol 20, Iss 1, Pp 1753-1769 (2022)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2022-0461
Popis: The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. In addition, we discuss the stability of the solution under mild conditions. Further, we provide some numerical examples to indicate that the proposed method works properly.
Databáze: Directory of Open Access Journals