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Fuzzy n -normed linear space

Author

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  • AL. Narayanan
  • S. Vijayabalaji

Abstract

The primary purpose of this paper is to introduce the notion of fuzzy n -normed linear space as a generalization of n -normed space. Ascending family of α - n -norms corresponding to fuzzy n -norm is introduced. Best approximation sets in α - n -norms are defined. We also provide some results on best approximation sets in α - n -normed space.

Suggested Citation

  • AL. Narayanan & S. Vijayabalaji, 2005. "Fuzzy n -normed linear space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-15, January.
    • Handle: RePEc:hin:jijmms:640286
    DOI: 10.1155/IJMMS.2005.3963
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    Cited by:

    1. Nabanita Konwar & Ayhan Esi & Pradip Debnath, 2019. "New Fixed Point Theorems via Contraction Mappings in Complete Intuitionistic Fuzzy Normed Linear Space," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 65-83, March.

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