On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space

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Published: Sep 20, 2023
DOI: https://doi.org/10.21123/bsj.2023.8286
Keywords:
Fixed point, F ̌_ɳ space, α ̌- admissible mapping, α ̌–φ ̆-fuzzy contractive mapping, Fuzzy Banach space.

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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.

Abstract

The idea of fixed points represents one of the most potent mathematical tools. This paper's main purpose is to introduce a new kind of fuzzy contractive mapping in a fuzzy normed space (briefly  space) namely "fuzzy contractive mapping". We proved some fixed point results for this mapping in the setting of  space using the triangular property of fuzzy norm. Moreover, under specific conditions, some other results for such type of mapping are established. Finally, an example is offered to show the results' usefulness.

Received 27/12/2022

Revised 06/05/2023

Accepted 08/05/2023

Published Online First 20/09/2023

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1.
On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space. Baghdad Sci.J [Internet]. 2023 Sep. 20 [cited 2025 Jan. 22];21(4):1355. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8286
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Vol. 21 No. 4 (2024): Issue 4
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article
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How to Cite

1.
On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space. Baghdad Sci.J [Internet]. 2023 Sep. 20 [cited 2025 Jan. 22];21(4):1355. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8286
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