Approximating Fixed Points of Nonexpansive Type Mappings via General Picard–Mann Algorithm

Autor: Rahul Shukla, Rekha Panicker
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Computation, Vol 10, Iss 9, p 151 (2022)
Druh dokumentu: article
ISSN: 2079-3197
DOI: 10.3390/computation10090151
Popis: The aim of this paper is to approximate fixed points of nonexpansive type mappings in Banach spaces when the set of fixed points is nonempty. We study the general Picard–Mann (GPM) algorithm, obtaining the weak and strong convergence theorems. We provide an example to illustrate the convergence behaviour of the GPM algorithm. We compare the GPM algorithm with other existing (well known) algorithms numerically (under different parameters and initial guesses).
Databáze: Directory of Open Access Journals