STABILITY OF ADDITIVE-QUADRATIC $\boldsymbol\rho$-FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN INTUITIONISTIC FUZZY BANACH SPACES

Authors

  • P. Saha Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India Author
  • T. K. Samanta Department of Mathematics, Uluberia College, Uluberia, Howrah, West Bengal, India Author
  • P. Mondal Department of Mathematics, Bijoy Krishna Girls' College, Howrah, West Bengal, India Author
  • B. S. Choudhury Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India Author

Keywords:

Hyers-Ulam stability, non-Archimedean intuitionistic fuzzy normed space, generalized metric space

Subjects:

03E72, 97I70, 39B82, 32P05

Abstract

In this paper, a Hyers-Ulam-Rassias stability result foradditive-quadratic $\rho$-functional equations is established. Theframework of the study is non-Archimedean intuitionistic fuzzyBanach spaces. These spaces are generalizations of fuzzy Banachspaces. Several studies of functional analysis have been extendedto this space.

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Published

2020-04-15

Issue

Vol. 72 No. 2 (2020): Vol. 72, Issue 2

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.