Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces
This study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS). Additionally, we define various types of bounded linear operators (both strong and weak) that constitute a lin...
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| Published in | Fuzzy information and engineering Vol. 17; no. 1; pp. 39 - 58 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Tsinghua University Press
01.03.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1616-8658 1616-8666 |
| DOI | 10.26599/FIE.2025.9270052 |
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| Abstract | This study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS). Additionally, we define various types of bounded linear operators (both strong and weak) that constitute a linear space, and we explore the concept of neutrosophic compact linear operators. |
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| AbstractList | This study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS). Additionally, we define various types of bounded linear operators (both strong and weak) that constitute a linear space, and we explore the concept of neutrosophic compact linear operators. |
| Author | Esi, Ayhan Ahmad, Ayaz Chaurasiya, Chandan Shankar, Hari |
| Author_xml | – sequence: 1 givenname: Chandan surname: Chaurasiya fullname: Chaurasiya, Chandan organization: National Institute of Technology,Department of Mathematics,Patna,India,800005 – sequence: 2 givenname: Ayaz surname: Ahmad fullname: Ahmad, Ayaz organization: National Institute of Technology,Department of Mathematics,Patna,India,800005 – sequence: 3 givenname: Hari surname: Shankar fullname: Shankar, Hari organization: National Institute of Technology,Department of Mathematics,Patna,India,800005 – sequence: 4 givenname: Ayhan surname: Esi fullname: Esi, Ayhan organization: Malatya Turgut Ozal University,Department of Mathematics,Malatya,Türkiye,44040 |
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| Cites_doi | 10.1142/S1752890923500150 10.1016/0165-0114(92)90338-5 10.3233/JIFS-202189 10.2298/FIL2315971P 10.1080/01630563.2023.2248695 10.1016/j.chaos.2006.04.055 10.1109/GRC.2006.1635754 10.1016/S0165-0114(86)80034-3 10.1016/j.fss.2004.05.004 10.3233/ifs-151576 10.1016/S0019-9958(65)90241-X |
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| References | Thillaigovindan (ref13) 2012; 3 ref20 Pandit (ref16) 2023; 37 ref2 ref1 Debroy (ref9) 2024; 46 Granados (ref10) 2024; 178 ref8 Muralikrishna (ref21) 2019; 30 ref7 Samanta (ref18) 2008 Khan (ref14) 2021; 40 Pandit (ref17) 2022; 19 ref4 ref3 Smarandache (ref19) 2005; 24 ref6 Das (ref11) 2024; 17 Narayanan (ref12) 2007; 4 Bag (ref5) 2003; 11 Omran (ref15) 2021; 46 |
| References_xml | – volume: 46 start-page: 302 issue: 3 year: 2024 ident: ref9 publication-title: Sequences space lNP of neutrosophic real numbers, Songklanakarin J. Sci. Technol. – volume: 17 start-page: 2350015 issue: 1 year: 2024 ident: ref11 article-title: Some results on statistically pre-cauchy sequences of fuzzy variables defined by orlicz functions in credibility space publication-title: J. Uncert. Sys. doi: 10.1142/S1752890923500150 – volume: 3 start-page: 133 issue: 1 year: 2012 ident: ref13 article-title: On intuitionistic fuzzy compact linear operators publication-title: Ann. Fuzzy Math. Inform. – ident: ref4 doi: 10.1016/0165-0114(92)90338-5 – volume: 40 start-page: 11063 issue: 6 year: 2021 ident: ref14 article-title: Continuous and bounded linear operators in neutrosophic normed spaces publication-title: J. Intell. Fuzzy Syst. doi: 10.3233/JIFS-202189 – volume: 19 start-page: 1 issue: 3 year: 2022 ident: ref17 article-title: A study on statistical convergence of triple sequences in intuitionistic fuzzy normed space publication-title: Sahand Commun. Math. Anal. – volume: 37 start-page: 4971 issue: 15 year: 2023 ident: ref16 article-title: A study of triple sequence spaces in fuzzy anti-normed linear spaces publication-title: Filomat doi: 10.2298/FIL2315971P – ident: ref20 doi: 10.1080/01630563.2023.2248695 – ident: ref7 doi: 10.1016/j.chaos.2006.04.055 – volume: 4 start-page: 89 issue: 1 year: 2007 ident: ref12 article-title: Intuitionistic fuzzy bounded linear operators publication-title: Iran. J. Fuzzy Syst. – year: 2008 ident: ref18 article-title: Finite dimensional intuitionistic fuzzy normed linear space publication-title: arXiv preprint – ident: ref3 doi: 10.1109/GRC.2006.1635754 – ident: ref2 doi: 10.1016/S0165-0114(86)80034-3 – volume: 46 start-page: 276 year: 2021 ident: ref15 article-title: Continuous and bounded operators on neutrosophic normed spaces publication-title: Neutrosophic Sets Syst. – ident: ref6 doi: 10.1016/j.fss.2004.05.004 – ident: ref8 doi: 10.3233/ifs-151576 – volume: 178 start-page: 69 issue: 1 year: 2024 ident: ref10 publication-title: On I3-convergence I*3-convergence and I3-Cauchy sequences in fuzzy normed spaces, Trans. A. Razmadze Math. Inst. – volume: 24 start-page: 287 issue: 3 year: 2005 ident: ref19 article-title: Neutrosophic set - A generalization of the intuitionistic fuzzy set publication-title: Int. J. Pure Appl. Math. – ident: ref1 doi: 10.1016/S0019-9958(65)90241-X – volume: 11 start-page: 687 issue: 3 year: 2003 ident: ref5 article-title: Finite dimensional fuzzy normed linear spaces publication-title: J. Fuzzy Math. – volume: 30 start-page: 225 year: 2019 ident: ref21 article-title: Neutrosophic approach on normed linear space publication-title: Neutrosophic Sets Syst. |
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| SubjectTerms | bounded linear operator compact linear operator neutrosophic normed linear spaces (nnls) t-conorm t-norm |
| Title | Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces |
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