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I-convergence in probabilistic n-normed space

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Abstract

In this article we introduce the notion of I-Cauchy sequence and I-convergent sequence in probabilistic n-normed space. The concept of I*-Cauchy sequence and I*-convergence in probabilistic n-normed space are also introduced and some of their properties related to these notions have been established.

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Acknowledgments

The authors thank the reviewers for their comments and suggestions.

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Authors and Affiliations

  1. Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati, 781035, Assam, India

    Binod Chandra Tripathy

  2. National Institute of Technology, Silchar, 788010, Assam, India

    Mausumi Sen

  3. Silchar Polytechnic, Silchar, 788015, Assam, India

    Soumitra Nath

Authors
  1. Binod Chandra Tripathy
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  2. Mausumi Sen
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  3. Soumitra Nath
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Correspondence to Binod Chandra Tripathy.

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Tripathy, B.C., Sen, M. & Nath, S. I-convergence in probabilistic n-normed space. Soft Comput 16, 1021–1027 (2012). https://doi.org/10.1007/s00500-011-0799-8

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