A Hyers-Ulam-Rassias stability result for functional equations in Intuitionistic Fuzzy Banach spaces

Authors

  • Binayak S. Choudhury Department of Mathematics, Indian Institute Of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India
  • Nabin Chandra Kayal Department of Mathematics, Indian Institute Of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India
  • Parbati Saha Department of Mathematics, Indian Institute Of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India
  • Tapas Kumar Samanta Department of Mathematics, Uluberia College, Uluberia, Howrah - 711315, West Bengal, India
Abstract:

Hyers-Ulam-Rassias stability have been studied in the contexts of several areas of mathematics. The concept of fuzziness and its extensions have been introduced to almost all branches of mathematics in recent times.Here we define the cubic functional equation in 2-variables and establish that Hyers-Ulam-Rassias stability holds for such equations in intuitionistic fuzzy Banach spaces.

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Journal title

volume 13  issue 5

pages  87- 96

publication date 2016-10-30

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