Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation
Abstract The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively. The article further advances to illustrate the Fréchet derivative of nonlinear op...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02893-y |
| _version_ | 1811188715423268864 |
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| author | Vakeel A. Khan Mohammad Daud Khan |
| author_facet | Vakeel A. Khan Mohammad Daud Khan |
| author_sort | Vakeel A. Khan |
| collection | DOAJ |
| description | Abstract The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively. The article further advances to illustrate the Fréchet derivative of nonlinear operators between neutrosophic normed spaces (NNS). Examples have been provided in compliance with the theory with the aid of some standard sequence spaces. |
| first_indexed | 2024-04-11T14:23:12Z |
| format | Article |
| id | doaj.art-488b8ab67baf48dd8ee0f31007898a64 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-11T14:23:12Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-488b8ab67baf48dd8ee0f31007898a642022-12-22T04:18:57ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-12-012022111310.1186/s13660-022-02893-yNonlinear operators between neutrosophic normed spaces and Fréchet differentiationVakeel A. Khan0Mohammad Daud Khan1Department of Mathematics, Aligarh Muslim UniversityDepartment of Mathematics, Aligarh Muslim UniversityAbstract The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively. The article further advances to illustrate the Fréchet derivative of nonlinear operators between neutrosophic normed spaces (NNS). Examples have been provided in compliance with the theory with the aid of some standard sequence spaces.https://doi.org/10.1186/s13660-022-02893-yBounded Linear operatorFréchet derivativeContinuityNeutrosophic normed space |
| spellingShingle | Vakeel A. Khan Mohammad Daud Khan Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation Journal of Inequalities and Applications Bounded Linear operator Fréchet derivative Continuity Neutrosophic normed space |
| title | Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation |
| title_full | Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation |
| title_fullStr | Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation |
| title_full_unstemmed | Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation |
| title_short | Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation |
| title_sort | nonlinear operators between neutrosophic normed spaces and frechet differentiation |
| topic | Bounded Linear operator Fréchet derivative Continuity Neutrosophic normed space |
| url | https://doi.org/10.1186/s13660-022-02893-y |
| work_keys_str_mv | AT vakeelakhan nonlinearoperatorsbetweenneutrosophicnormedspacesandfrechetdifferentiation AT mohammaddaudkhan nonlinearoperatorsbetweenneutrosophicnormedspacesandfrechetdifferentiation |