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Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness

Author

Listed:
  • Mami Sharma

    (Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam 784028, India)

  • Debajit Hazarika

    (Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam 784028, India)

Abstract

In this paper, we first investigate the relationship between various notions of fuzzy boundedness of linear operators in fuzzy normed linear spaces. We also discuss the fuzzy boundedness of fuzzy compact operators. Furthermore, the spaces of fuzzy compact operators have been studied.

Suggested Citation

  • Mami Sharma & Debajit Hazarika, 2020. "Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 177-193, March.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:01:n:s1793005720500118
    DOI: 10.1142/S1793005720500118
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    Cited by:

    1. Yanyan Xu & Lu Sun & Hao Li & Guanggui Chen, 2023. "The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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