Statistical Λ-Convergence in Probabilistic Normed Spaces
The main objective of the study was to understand the notion of Λ-convergence and to study the notion of probabilistic normed (PN) spaces. The study has also aimed to define the statistical Λ-convergence and statistical Λ-Cauchy in PN-spaces. The concepts of these approaches have been defined by som...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/3154280 |
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| _version_ | 1832550310458949632 |
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| author | M. Aldhaifallah K. S. Nisar H. M. Srivastava M. Mursaleen |
| author_facet | M. Aldhaifallah K. S. Nisar H. M. Srivastava M. Mursaleen |
| author_sort | M. Aldhaifallah |
| collection | DOAJ |
| description | The main objective of the study was to understand the notion of Λ-convergence and to study the notion of probabilistic normed (PN) spaces. The study has also aimed to define the statistical Λ-convergence and statistical Λ-Cauchy in PN-spaces. The concepts of these approaches have been defined by some examples, which have demonstrated the concepts of statistical Λ-convergence and statistical Λ-Cauchy in PN-spaces. Previous studies have also been used to understand similar terminologies and notations for the extraction of outcomes. |
| format | Article |
| id | doaj-art-df1a5c0966154ba287f1d1c04c8ff1bd |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-df1a5c0966154ba287f1d1c04c8ff1bd2025-02-03T06:07:14ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/31542803154280Statistical Λ-Convergence in Probabilistic Normed SpacesM. Aldhaifallah0K. S. Nisar1H. M. Srivastava2M. Mursaleen3Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, College of Arts and Science-Wadi Ad-Dawasir, Prince Sattam Bin Abdulaziz University, P.O. Box 54, Wadi Ad-Dawasir, Saudi ArabiaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaThe main objective of the study was to understand the notion of Λ-convergence and to study the notion of probabilistic normed (PN) spaces. The study has also aimed to define the statistical Λ-convergence and statistical Λ-Cauchy in PN-spaces. The concepts of these approaches have been defined by some examples, which have demonstrated the concepts of statistical Λ-convergence and statistical Λ-Cauchy in PN-spaces. Previous studies have also been used to understand similar terminologies and notations for the extraction of outcomes.http://dx.doi.org/10.1155/2017/3154280 |
| spellingShingle | M. Aldhaifallah K. S. Nisar H. M. Srivastava M. Mursaleen Statistical Λ-Convergence in Probabilistic Normed Spaces Journal of Function Spaces |
| title | Statistical Λ-Convergence in Probabilistic Normed Spaces |
| title_full | Statistical Λ-Convergence in Probabilistic Normed Spaces |
| title_fullStr | Statistical Λ-Convergence in Probabilistic Normed Spaces |
| title_full_unstemmed | Statistical Λ-Convergence in Probabilistic Normed Spaces |
| title_short | Statistical Λ-Convergence in Probabilistic Normed Spaces |
| title_sort | statistical λ convergence in probabilistic normed spaces |
| url | http://dx.doi.org/10.1155/2017/3154280 |
| work_keys_str_mv | AT maldhaifallah statisticallconvergenceinprobabilisticnormedspaces AT ksnisar statisticallconvergenceinprobabilisticnormedspaces AT hmsrivastava statisticallconvergenceinprobabilisticnormedspaces AT mmursaleen statisticallconvergenceinprobabilisticnormedspaces |