Fixed-Point Approximations of Generalized Nonexpansive Mappings via Generalized M-Iteration Process in Hyperbolic Spaces

Autor:	Preeyalak Chuadchawna, Ali Farajzadeh, Anchalee Kaewcharoen
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 2020 (2020)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425
DOI:	10.1155/2020/6435043
Popis:	In this paper, we propose the generalized M-iteration process for approximating the fixed points from Banach spaces to hyperbolic spaces. Using our new iteration process, we prove Δ-convergence and strong convergence theorems for the class of mappings satisfying the condition Cλ and the condition E which is the generalization of Suzuki generalized nonexpansive mappings in the setting of hyperbolic spaces. Moreover, a numerical example is given to present the capability of our iteration process and the solution of the integral equation is also illustrated using our main result.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c8712432e22f4fde8d317cda934254a3 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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