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Generalized s r I ? -statistical convergence in intuitionistic fuzzy normed linear space |
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| รหัสดีโอไอ | |
| Creator | 1. Nabanita Konwar 2. Pradip Debnath |
| Title | Generalized s r I ? -statistical convergence in intuitionistic fuzzy normed linear space |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2561 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 40 |
| Journal No. | 3 |
| Page no. | 540 |
| Keyword | intuitionistic fuzzy normed linear space, srI?- statistical convergence, ?-convergence |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in(Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept ofsrI?-statisticalconvergence in IFNLS. An analogous proof of the open problem discussed above with respect tosrI?-statistical convergence isgiven. Also, we suggest an open problem regarding the completeness of the space with respect to this new convergence, whoseproof could open up a new area of research in nonlinear Functional Analysis in the setting of IFNLS. |
