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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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2025-03-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | https://www.sciopen.com/article/10.26599/FIE.2025.9270052 |
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| _version_ | 1849719055751053312 |
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| author | Chandan Chaurasiya Ayaz Ahmad Hari Shankar Ayhan Esi |
| author_facet | Chandan Chaurasiya Ayaz Ahmad Hari Shankar Ayhan Esi |
| author_sort | Chandan Chaurasiya |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7274fccf905b437b941e403ec96346eb |
| institution | DOAJ |
| issn | 1616-8658 1616-8666 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj-art-7274fccf905b437b941e403ec96346eb2025-08-20T03:12:14ZengTsinghua University PressFuzzy Information and Engineering1616-86581616-86662025-03-01171395810.26599/FIE.2025.9270052Exploring Bounded Linear Operators in Neutrosophic Normed Linear SpacesChandan Chaurasiya0Ayaz Ahmad1Hari Shankar2Ayhan Esi3Department of Mathematics, National Institute of Technology, Patna 800005, IndiaDepartment of Mathematics, National Institute of Technology, Patna 800005, IndiaDepartment of Mathematics, National Institute of Technology, Patna 800005, IndiaDepartment of Mathematics, Malatya Turgut Ozal University, Malatya 44040, TürkiyeThis 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.https://www.sciopen.com/article/10.26599/FIE.2025.9270052t-normt-conormneutrosophic normed linear spaces (nnls)bounded linear operatorcompact linear operator |
| spellingShingle | Chandan Chaurasiya Ayaz Ahmad Hari Shankar Ayhan Esi Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces Fuzzy Information and Engineering t-norm t-conorm neutrosophic normed linear spaces (nnls) bounded linear operator compact linear operator |
| title | Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces |
| title_full | Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces |
| title_fullStr | Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces |
| title_full_unstemmed | Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces |
| title_short | Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces |
| title_sort | exploring bounded linear operators in neutrosophic normed linear spaces |
| topic | t-norm t-conorm neutrosophic normed linear spaces (nnls) bounded linear operator compact linear operator |
| url | https://www.sciopen.com/article/10.26599/FIE.2025.9270052 |
| work_keys_str_mv | AT chandanchaurasiya exploringboundedlinearoperatorsinneutrosophicnormedlinearspaces AT ayazahmad exploringboundedlinearoperatorsinneutrosophicnormedlinearspaces AT harishankar exploringboundedlinearoperatorsinneutrosophicnormedlinearspaces AT ayhanesi exploringboundedlinearoperatorsinneutrosophicnormedlinearspaces |