Work

Advancements in Fixed Point Theory for Fuzzy Normed Spaces Using the Common Limit Range Method with Application

Year: 2025

Type: article

Abstract: This paper explores novel fixed point theorems for weakly compatible mappings in fuzzy normed spaces that adhere to an implicit relation. By employing the concepts of the common limit range property and the common property we establish new results in this field. Several illustrative examples are provided to validate the hypotheses and highlight the applicability of our findings. Furthermore, as an applied approach of our primary results, we establish a common fixed point theorem of integral type within fuzzy normed space.

Source: European Journal of Applied Science Engineering and Technology

DOI: 10.59324/ejaset.2025.3(2).16

Authors: Ahmed Ghanawi Jasim, Intesar Harbi

Institution: Thi Qar University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408805563

FWCI: 1.756

Cites: 9

Cited by: 1

Related to: 10