Fixed points of multivalued mappings in metric spaces

Autor:	Binayak S. Choudhury, N. Metiya, S. Kundu, D. Khatua
Jazyk:	English<br />French
Rok vydání:	2019
Předmět:	Set valued analysis Cyclic (α β)-admissible mapping Multivalued mapping Fixed point Mathematics QA1-939
Zdroj:	Surveys in Mathematics and its Applications, Vol 14 (2019), Pp 1-16 (2019)
Druh dokumentu:	article
ISSN:	1843-7265 1842-6298
Popis:	Admissibility of mappings are introduced to create conditions to minimally restrict various contractive conditions on pairs of points from a metric space in order to ensure fixed point property of the respective contractions. In the present work we define new admissibility conditions and control functions to obtain certain multivalued fixed point theorems. The corresponding single valued case is discussed. We define four weak contraction mappings of which two are multivalued and two are single valued. The results are without any assumption of continuity. There is an illustrative example.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7fe1da6f66074f08a45d77dd6340abc0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF