Geodesic
Lacunary ideal convergence in probabilistic normed space
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 3-17

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The aim of this paper is to study the notion of lacunary $I$-convergence in probabilistic normed spaces as a variant of the notion of ideal convergence. Also lacunary $I$-limit points and lacunary $I$-cluster points have been defined and the relation between them has been established. Furthermore, lacunary Cauchy and lacunary $I$-Cauchy sequences are introduced and studied. Finally, we provided example which shows that our method of convergence in probabilistic normed spaces is more general. 
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     author = {Bipan Hazarika and Ayhan Esi},
     title = {Lacunary ideal convergence in probabilistic normed space},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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     number = {2},
     year = {2016},
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Bipan Hazarika; Ayhan Esi. Lacunary ideal convergence in probabilistic normed space. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 3-17. http://geodesic.mathdoc.fr/item/BASM_2016_2_a0/