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ON DIFFERENCE IDEAL CONVERGENCE OF DOUBLE SEQUENCES IN RANDOM 2-NORMED SPACES

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Abstract

An ideal I is a family of subsets of positive integers ℕ which is closed under taking finite unions and subsets of its elements. We define and study the notions of Δn-ideal convergence and Δn-ideal Cauchy double sequences in random 2-normed spaces and prove some interesting theorems.

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Acknowledgments

The author would like to thank the referees for a careful reading and several constructive comments that have improved the presentation of the results.

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  1. Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791 112, Itanagar, Arunachal Pradesh, India

    Bipan Hazarika

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  1. Bipan Hazarika
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Hazarika, B. ON DIFFERENCE IDEAL CONVERGENCE OF DOUBLE SEQUENCES IN RANDOM 2-NORMED SPACES. Acta Math Vietnam 39, 393–404 (2014). https://doi.org/10.1007/s40306-014-0069-9

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  • DOI: https://doi.org/10.1007/s40306-014-0069-9

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