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

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 ma...

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Bibliographic Details
Main Authors: Raghad I. Sabri, Buthainah A. A. Ahmed
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2023-09-01
Series:مجلة بغداد للعلوم
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8286
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Summary: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.
ISSN:2078-8665
2411-7986