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

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.

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Published

2024-04-30

Issue

Section

Mathematics

How to Cite

Some Results of Fixed Point for Single Value Mapping in Fuzzy Normed Space with Applications. (2024). Iraqi Journal of Science, 65(4), 2105-2113. https://doi.org/10.24996/ijs.2024.65.4.28

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