Some Results of Fixed Point for Single Value Mapping in Fuzzy Normed Space with Applications

Raghad I. Sabri; Buthainah A. A.  Ahmed

doi:10.24996/ijs.2024.65.4.28

Authors

Raghad I. Sabri Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq https://orcid.org/0000-0002-3673-5864
Buthainah A. A. Ahmed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.4.28

Keywords:

Fixed point, Fuzzy norm, Fuzzy normed space, Triangular property

Abstract

Fixed point theory is not only essential in mathematics but also to a vast array of applications. In this approach, we provide some fixed point theorems for fuzzy normed space. The triangle property of a fuzzy norm is introduced first. This property is used to demonstrate some fixed point solutions for self-mappings in fuzzy normed space. To demonstrate the importance of the obtained results, an application for the existence of a solution to the ordinary differential equation and the Fredholm integral equation is constructed.