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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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2023-09-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8286 |
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| author | Raghad I. Sabri Buthainah A. A. Ahmed |
| author_facet | Raghad I. Sabri Buthainah A. A. Ahmed |
| author_sort | Raghad I. Sabri |
| collection | DOAJ |
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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.
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| format | Article |
| id | doaj-art-3dd7138e831f4b29a41b41cd0d2de90c |
| institution | Matheson Library |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-3dd7138e831f4b29a41b41cd0d2de90c2025-08-02T05:55:56ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862023-09-0121410.21123/bsj.2023.8286On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed SpaceRaghad I. Sabri0https://orcid.org/0000-0002-3673-5864Buthainah A. A. Ahmed 1 Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq. Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq. 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. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8286Fixed point, F ̌_ɳ space, α ̌- admissible mapping, α ̌–φ ̆-fuzzy contractive mapping, Fuzzy Banach space. |
| spellingShingle | Raghad I. Sabri Buthainah A. A. Ahmed On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space مجلة بغداد للعلوم Fixed point, F ̌_ɳ space, α ̌- admissible mapping, α ̌–φ ̆-fuzzy contractive mapping, Fuzzy Banach space. |
| title | On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space |
| title_full | On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space |
| title_fullStr | On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space |
| title_full_unstemmed | On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space |
| title_short | On α ̌–φ ̆-Fuzzy Contractive Mapping in Fuzzy Normed Space |
| title_sort | on α ̌ φ ̆ fuzzy contractive mapping in fuzzy normed space |
| topic | Fixed point, F ̌_ɳ space, α ̌- admissible mapping, α ̌–φ ̆-fuzzy contractive mapping, Fuzzy Banach space. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8286 |
| work_keys_str_mv | AT raghadisabri onaphfuzzycontractivemappinginfuzzynormedspace AT buthainahaaahmed onaphfuzzycontractivemappinginfuzzynormedspace |