A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces
Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm. We explore (λ, μ)-Zweier convergence, (λ, μ) ideal convergence of double sequences in neutrosophic norm. We show that a d...
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| Format: | Article |
| Language: | English |
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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/46AStudyZweierSequences.pdf |
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| author | Vakeel A Khan Mohd Faisal |
| author_facet | Vakeel A Khan Mohd Faisal |
| author_sort | Vakeel A Khan |
| collection | DOAJ |
| description | Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm. We explore (λ, μ)-Zweier convergence, (λ, μ) ideal convergence of double sequences in neutrosophic norm. We show that a double sequence that is (λ, μ)-Zweier convergent or ideal convergent has a unique limit with respect to neutrosophic norm. Additionally, we prove that (λ, μ)-Zweier ideal convergence is equivalent to (λ, μ)-Zweier ideal Cauchy for a double sequence in neutrosophic normed space. |
| format | Article |
| id | doaj-art-facf609533e341958e31c9cc0b6854d0 |
| 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-facf609533e341958e31c9cc0b6854d02025-08-24T16:10:52ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2024-11-017357058310.5281/zenodo.13989335A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed SpacesVakeel A KhanMohd FaisalIdeal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm. We explore (λ, μ)-Zweier convergence, (λ, μ) ideal convergence of double sequences in neutrosophic norm. We show that a double sequence that is (λ, μ)-Zweier convergent or ideal convergent has a unique limit with respect to neutrosophic norm. Additionally, we prove that (λ, μ)-Zweier ideal convergence is equivalent to (λ, μ)-Zweier ideal Cauchy for a double sequence in neutrosophic normed space.https://fs.unm.edu/NSS/46AStudyZweierSequences.pdfneutrosophic normed spacestatistical convergence(λ−μ) zweier convergencei-convergence |
| spellingShingle | Vakeel A Khan Mohd Faisal A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces Neutrosophic Sets and Systems neutrosophic normed space statistical convergence (λ−μ) zweier convergence i-convergence |
| title | A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces |
| title_full | A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces |
| title_fullStr | A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces |
| title_full_unstemmed | A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces |
| title_short | A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces |
| title_sort | study on λ µ zweier sequences and their behaviour in neutrosophic normed spaces |
| topic | neutrosophic normed space statistical convergence (λ−μ) zweier convergence i-convergence |
| url | https://fs.unm.edu/NSS/46AStudyZweierSequences.pdf |
| work_keys_str_mv | AT vakeelakhan astudyonlmzweiersequencesandtheirbehaviourinneutrosophicnormedspaces AT mohdfaisal astudyonlmzweiersequencesandtheirbehaviourinneutrosophicnormedspaces AT vakeelakhan studyonlmzweiersequencesandtheirbehaviourinneutrosophicnormedspaces AT mohdfaisal studyonlmzweiersequencesandtheirbehaviourinneutrosophicnormedspaces |