Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces

Autor:	Seyed Ali Mohammad Mohsenialhosseini, Morteza Saheli
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Cyclic maps $alpha$-asymptotically regular $F$-Kannan operator Fuzzy diameter Mathematics QA1-939
Zdroj:	Sahand Communications in Mathematical Analysis, Vol 16, Iss 1, Pp 17-34 (2019)
Druh dokumentu:	article
ISSN:	2322-5807 2423-3900
DOI:	10.22130/scma.2018.83850.420
Popis:	The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. Using these results, we prove theorems for various types of well-known generalized contractions in fuzzy normed spaces. Also, we apply our results to get an application of approximate fixed point and approximate best proximity pair theorem of their diameter.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6a9f527e257b4f7e8faeb45e6d5c5be9 Zobrazit plný text záznamu View record in DOAJ