Work

The separation and compactness on fuzzy partial metric spaces

Year: 2025

Type: article

Abstract: In this paper, we primarily examine various topological properties within fuzzy partial metric spaces (FPMS). First, we investigate the separation axioms of FPMS and demonstrate that the T 2 , T 3 , and T 4 axioms are equivalent under certain suitable conditions. Additionally, we introduce the concept of absolutely totally bounded FPMS, and prove that a FPMS is compact if and only if it is both absolutely totally bounded and complete.

Source: Fundamental Research

DOI: 10.1016/j.fmre.2025.02.003

Authors: Han Wang, Chong Shen, Zhenyu Jin

Institutions: Nanjing Normal University, Beijing University of Posts and Telecommunications, Suzhou University of Science and Technology

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Major Basic Research Project of the Natural Science Foundation of the Jiangsu Higher Education Institutions, Natural Science Research of Jiangsu Higher Education Institutions of China

Awards: 模糊拟范数空间理论及其应用研究, G2079913615, G8159713812