On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function
In this paper, we introduce the neutrosophic I-convergent difference sequence spaces I(Y) (∆) (f ) and I0(Y) (∆) (f ) defined by modulus function. Also, we define an open ball B(x, ϵ, γ)(f ) in neutrosophic norm space defined by modulus function. Furthermore, We construct new topological spaces and...
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| Format: | Article |
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University of New Mexico
2024-11-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/17Arshad_NeutrosophicNormed.pdf |
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| _version_ | 1849228907581014016 |
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| author | Vakeel A. Khan Mohammad Arshad |
| author_facet | Vakeel A. Khan Mohammad Arshad |
| author_sort | Vakeel A. Khan |
| collection | DOAJ |
| description | In this paper, we introduce the neutrosophic I-convergent difference sequence spaces I(Y) (∆) (f ) and I0(Y) (∆) (f ) defined by modulus function. Also, we define an open ball B(x, ϵ, γ)(f ) in neutrosophic norm space defined by modulus function. Furthermore, We construct new topological spaces and look into various topological aspects in neutrosophic I-convergent difference sequence spaces I(Y) (∆) (f ) and I0(Y) (∆) (f ) defined by modulus function. |
| format | Article |
| id | doaj-art-e8ed957a2b7b4f18bb8ff995a3f8a769 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-e8ed957a2b7b4f18bb8ff995a3f8a7692025-08-22T12:33:09ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2024-11-017317819010.5281/zenodo.13989171On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus FunctionVakeel A. KhanMohammad ArshadIn this paper, we introduce the neutrosophic I-convergent difference sequence spaces I(Y) (∆) (f ) and I0(Y) (∆) (f ) defined by modulus function. Also, we define an open ball B(x, ϵ, γ)(f ) in neutrosophic norm space defined by modulus function. Furthermore, We construct new topological spaces and look into various topological aspects in neutrosophic I-convergent difference sequence spaces I(Y) (∆) (f ) and I0(Y) (∆) (f ) defined by modulus function.https://fs.unm.edu/NSS/17Arshad_NeutrosophicNormed.pdfdifference sequence spacesidealfilteri-convergencemodulus functionneutrosophic normed spaces |
| spellingShingle | Vakeel A. Khan Mohammad Arshad On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function Neutrosophic Sets and Systems difference sequence spaces ideal filter i-convergence modulus function neutrosophic normed spaces |
| title | On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function |
| title_full | On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function |
| title_fullStr | On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function |
| title_full_unstemmed | On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function |
| title_short | On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function |
| title_sort | on neutrosophic normed spaces of i convergence diferencesequences defned by modulus function |
| topic | difference sequence spaces ideal filter i-convergence modulus function neutrosophic normed spaces |
| url | https://fs.unm.edu/NSS/17Arshad_NeutrosophicNormed.pdf |
| work_keys_str_mv | AT vakeelakhan onneutrosophicnormedspacesoficonvergencediferencesequencesdefnedbymodulusfunction AT mohammadarshad onneutrosophicnormedspacesoficonvergencediferencesequencesdefnedbymodulusfunction |