Lacunary Ideal Convergence in Probabilistic Normed Space

نویسندگان

  • Bipan Hazarika
  • Ayhan Esi
  • BIPAN HAZARIKA
  • AYHAN ESI
چکیده

Abstract. 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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تاریخ انتشار 2016