Mizoguchi-Takahashi local contractions to Feng-Liu contractions

Autor:	Pallab Maiti, Asrifa Sultana
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	fixed points set-valued map metrically convex metric space uniformly local contractions Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 25, Iss 2, Pp 321-329 (2024)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2024.19619
Popis:	In this article, we establish that any uniformly local Mizoguchi-Takahashi contraction is actually a set-valued contraction due to Feng and Liu on a metrically convex complete metric space. Through an example, we demonstrate that this result need not hold on any arbitrary metric space. Furthermore, when the metric space is compact, we derive that any Mizoguchi-Takahashi local contraction and Nadler local contraction are equivalent. Moreover, a result related to invariant best approximation is established.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b8bd5f4e00534e4f9ac46b6d9d99df3a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF