A New Approach to Fuzzy Partial Metric Spaces

Autor:	Elif GÜNER, Halis AYGÜN
Rok vydání:	2022
Předmět:	Statistics and Probability Matematik Algebra and Number Theory partial metric fuzzy metric topology fuzzifying topology fixed pointtheorem Geometry and Topology Mathematics Analysis
Zdroj:	Volume: 51, Issue: 6 1563-1576 Hacettepe Journal of Mathematics and Statistics
ISSN:	2651-477X
DOI:	10.15672/hujms.1115381
Popis:	In this study, we aim to introduce the notion of fuzzy partial metric spaces which is a generalization of crisp partial metric spaces in the fuzzifying view with the distance between ordinary points. For this aim, we first present the concept of fuzzy partial metric spaces by considering the distance as non-negative, upper semi-continuous, normal and convex fuzzy numbers by giving examples. We obtain some useful inequalities under some restrictions in fuzzy partial metric spaces. Then we discuss the relationships with the other metric structures and we point out Banach's fixed point theorem as an application of the proposed properties and relations. Finally, we show that fuzzy partial metric spaces induce some $\alpha$-level topology, Lowen fuzzy topology, and fuzzifying topology.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b30778eb37f35383e51b89fb40903c80 https://doi.org/10.15672/hujms.1115381 Zobrazit plný text záznamu