TY  - JOUR
TI  - A new approach to fuzzy partial metric spaces
AB  - 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 α-level topology, Lowen fuzzy topology, and fuzzifying topology.
AU  - Güner, Elif
AU  - AYGÜN, HALIS
DO  - 10.15672/hujms.1115381
PY  - 2022
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 51
IS  - 6
SN  - 1303-5010
SP  - 1563
EP  - 1576
DB  - TRDizin
UR  - http://search/yayin/detay/1163007
ER  -