Work

Fixed Point Theorems in Fuzzy Partial Metric Spaces

Year: 2025

Type: article

Abstract: Inspired by the work of Gregori et al. and guided by some open direction, we propose the concepts of Cauchy sequence and convergent sequence in a fuzzy partial metric space by the residuum operator associated to a continuous t-norm. Based on these notions, we introduce the concepts of two kinds of fuzzy η-contractive mappings in fuzzy partial metric spaces and present related fixed point theorems.

Source: Mathematics

DOI: 10.3390/math13162632

Authors: Dingwei Zheng, Qingming He

Institution: Guangxi University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China