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- Title
Generalized I<sub>Δ<sub>r</sub><sup>s</sup></sub>-statistical convergence in intuitionistic fuzzy normed linear space.
- Authors
Konwar, Nabanita; Debnath, Pradip
- 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 of IΔrs-statistical convergence in IFNLS. An analogous proof of the open problem discussed above with respect to IΔrs-statistical convergence is given. Also, we suggest an open problem regarding the completeness of the space with respect to this new convergence, whose proof could open up a new area of research in nonlinear Functional Analysis in the setting of IFNLS.
- Subjects
INTUITIONISTIC mathematics; CONSTRUCTIVE mathematics; BROUWERIAN algebras; FUNCTIONAL analysis; CALCULUS of variations
- Publication
Songklanakarin Journal of Science & Technology, 2018, Vol 40, Issue 3, p540
- ISSN
0125-3395
- Publication type
Article