On Some Fixed Point Iterative Schemes with Strong Convergence and Their Applications

Autor:	Anku, Mona Narang, Vinay Kanwar
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fixed point method nonlinear equation order of convergence strong convergence Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Mathematical and Computational Applications, Vol 28, Iss 2, p 45 (2023)
Druh dokumentu:	article
ISSN:	2297-8747 1300-686X
DOI:	10.3390/mca28020045
Popis:	In this paper, a new one-parameter class of fixed point iterative method is proposed to approximate the fixed points of contractive type mappings. The presence of an arbitrary parameter in the proposed family increases its interval of convergence. Further, we also propose new two-step and three-step fixed point iterative schemes. We also discuss the stability, strong convergence and fastness of the proposed methods. Furthermore, numerical experiments are performed to check the applicability of the new methods, and these have been compared with well-known similar existing methods in the literature.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1418b4632fe74ea9afcf7ade111428ec Zobrazit plný text záznamu View record in DOAJ