w-b-Cone Distance and Its Related Results: A Survey

Autor:	Reza Babaei, Hamidreza Rahimi, Manuel De la Sen, Ghasem Soleimani Rad
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	w-b-cone distance tvs-cone b-metric space lower b-semicontinuous minkowski functional Mathematics QA1-939
Zdroj:	Symmetry, Vol 12, Iss 1, p 171 (2020)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym12010171
Popis:	In this work, we define the concept of a w-b-cone distance in t v s -cone b-metric spaces which differs from generalized c-distance in cone b-metric spaces, and we discuss its properties. Our results are significant, since all of the results in fixed point theory with respect to a generalized c-distance can be introduced in the version of w-b-cone distance. Moreover, using Minkowski functionals in topological vector spaces, we prove the equivalence between some fixed point results with respect to a w t -distance in general b-metric spaces and a w-b-cone distance in t v s -cone b-metric spaces.
Databáze:	Directory of Open Access Journals
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