On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications
We have defined and studied the weighted Nakano sequence spaces of fuzzy functions. We have constructed the ideal generated by extended s-fuzzy functions and the sequence spaces of fuzzy functions. We present some topological and geometric structures of this class of ideal and multiplication mapping...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2746942 |
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| _version_ | 1832564926959321088 |
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| author | Awad A. Bakery Elsayed A. E. Mohamed |
| author_facet | Awad A. Bakery Elsayed A. E. Mohamed |
| author_sort | Awad A. Bakery |
| collection | DOAJ |
| description | We have defined and studied the weighted Nakano sequence spaces of fuzzy functions. We have constructed the ideal generated by extended s-fuzzy functions and the sequence spaces of fuzzy functions. We present some topological and geometric structures of this class of ideal and multiplication mappings acting on this sequence space of fuzzy functions. Moreover, the existence of Caristi’s fixed point is examined. To show how the work is done, some examples and applications to the existence of solutions for a class of nonlinear summable and matrix equations are also talked about. |
| format | Article |
| id | doaj-art-f210743f747248fead68a8dee84ff6f3 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f210743f747248fead68a8dee84ff6f32025-02-03T01:09:54ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2746942On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some ApplicationsAwad A. Bakery0Elsayed A. E. Mohamed1College of Science and Arts at KhulisCollege of Science and Arts at KhulisWe have defined and studied the weighted Nakano sequence spaces of fuzzy functions. We have constructed the ideal generated by extended s-fuzzy functions and the sequence spaces of fuzzy functions. We present some topological and geometric structures of this class of ideal and multiplication mappings acting on this sequence space of fuzzy functions. Moreover, the existence of Caristi’s fixed point is examined. To show how the work is done, some examples and applications to the existence of solutions for a class of nonlinear summable and matrix equations are also talked about.http://dx.doi.org/10.1155/2022/2746942 |
| spellingShingle | Awad A. Bakery Elsayed A. E. Mohamed On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications Journal of Function Spaces |
| title | On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications |
| title_full | On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications |
| title_fullStr | On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications |
| title_full_unstemmed | On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications |
| title_short | On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications |
| title_sort | on the nonlinearity of extended s type weighted nakano sequence spaces of fuzzy functions with some applications |
| url | http://dx.doi.org/10.1155/2022/2746942 |
| work_keys_str_mv | AT awadabakery onthenonlinearityofextendedstypeweightednakanosequencespacesoffuzzyfunctionswithsomeapplications AT elsayedaemohamed onthenonlinearityofextendedstypeweightednakanosequencespacesoffuzzyfunctionswithsomeapplications |