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Continuous and bounded linear operators in neutrosophic normed spaces
(IOS Press, 2021) Khan, Vakeel A.; Esi, Ayhan; Ahmad, Mobeen; Daud Khan, Mohammad
In this article, we show that the addition and scalar multiplication in neutrosophic normed spaces are continuous. The neutrosophic boundedness and continuity of linear operators between neutrosophic normed spaces are examined. Moreover, we analyzed that the set of all neutrosophic continuous linear operators and the set of all neutrosophic bounded linear operators from neutrosophic normed spaces into another are vector spaces.
Some results on wijsman ideal convergence in intuitionistic fuzzy metric spaces
(Hindawi, 2020) Esi, Ayhan; Khan, Vakeel Ahmad; Ahmad, Mobeen; Alam, Masood
In the present work, we study and extend the notion of Wijsman J-convergence and Wijsman J*-convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J*-Cauchy and J-Cauchy sequence in the intuitionistic fuzzy metric space and observe some properties.