Year: 2025
Type: article
Abstract: In this note, we define two distinct categories of fuzzy Z-proximal contractions and we use these two fuzzy Z-proximal contractive inequalities as a tool to obtain best proximity point for a non-self mapping which is defined between two distinct non-empty subsets of a strong fuzzy metric space. Further, prove some proximity theorems by using these categories of fuzzy Z-proximal in a complete strong fuzzy metric space. For the support of these innovative results we produce a few validation of examples. At last, we provide a solution of a non-linear second-order ordinary differential equation with the help of fuzzy Z-proximal contractive inequality provided that assumed space is strong fuzzy metric space.
Source: Filomat
DOI: 10.2298/fil2501197p
Authors: Uma Patel, Vineeta Chandra, Stojan Radenovic
Institutions: Guru Ghasidas Vishwavidyalaya, University of Belgrade
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412913277