Common Fixed Point Theorems in Fuzzy Normed Space

Authors

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

DOI:

https://doi.org/10.54153/sjpas.2024.v6i1.723

Keywords:

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

Abstract

 

.

Fixed point theory is an intriguing topic with numerous applications in several branches of mathematics. In addition, fixed point theory offers useful methods for problem-solving that may be used across many subfields of mathematical analysis. Fixed point theorems are concerned with mappings f of a set X into itself that, under particular conditions, permit a fixed point, that is, a point  such that . In this paper, we use the triangle property on fuzzy normed space(Fn-space) to show a common fixed point (CF-point) without continuity. First, we review some of the fundamental terms used in the fuzzy context. After that the notion of triangle fuzzy norm is given then we show that the self mappings Γ and Λ have a CF-point in the setting of Fn-space.  Additionally, certain applications of our main results to the Fredholm integral equation are investigated.

Downloads

Published

2024-03-30

How to Cite

Sabri , R. I., & Ahmed , B. A. A. (2024). Common Fixed Point Theorems in Fuzzy Normed Space . Samarra Journal of Pure and Applied Science, 6(1), 251–262. https://doi.org/10.54153/sjpas.2024.v6i1.723

Issue

Vol. 6 No. 1 (2024): Samarra Journal of Pure and Applied Science

Section

Mathematics

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright Notice

Authors retain copyright and grant the SJPAS journal right of first publication, with the work simultaneously licensed under a  Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in Samarra Journal of Pure and Applied Science.

The Samarra Journal of Pure and Applied Science permits and encourages authors to archive Pre-print and Post-print items submitted to the journal on personal websites or institutional repositories per the author's choice while providing bibliographic details that credit their submission, and publication in this journal. This includes the archiving of a submitted version, an accepted version, or a published version without any Risks.