Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points

Autor:	Pradip Debnath, Manuel de La Sen
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	fixed point asymptotically regular map set-valued map metric space orbitally continuous map Mathematics QA1-939
Zdroj:	Symmetry, Vol 12, Iss 3, p 411 (2020)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym12030411
Popis:	The symmetry concept is a congenital characteristic of the metric function. In this paper, our primary aim is to study the fixed points of a broad category of set-valued maps which may include discontinuous maps as well. To achieve this objective, we newly extend the notions of orbitally continuous and asymptotically regular mappings in the set-valued context. We introduce two new contractive inequalities one of which is of Geraghty-type and the other is of Boyd and Wong-type. We proved two new existence of fixed point results corresponding to those inequalities.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/41edd23577f44b71b95e6a32b4128c61 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.