Algorithm for Two Generalized Nonexpansive Mappings in Uniformly Convex Spaces

Autor:	Gabriela Ioana Usurelu, Teodor Turcanu, Mihai Postolache
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	García-Falset mapping condition (E) Suzuki mapping condition (C) (α β)-generalized hybrid mappings common fixed point Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 3, p 318 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10030318
Popis:	In this paper, we study the common fixed-point problem for a pair of García-Falset mapping and (α,β)-generalized hybrid mapping in uniformly convex Banach spaces. For this purpose, we construct a modified three-step iteration by properly including together these two types of mappings into its formula. Under this modified iteration, a necessary and sufficient condition for the existence of a common fixed point as well as weak and strong convergence outcomes are phrased under some additional conditions.
Databáze:	Directory of Open Access Journals
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