Approximate Bi-Additive Mappings in Intuitionistic Fuzzy Normed Spaces: Javad Shokri

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Approximate Bi-Additive Mappings in Intuitionistic Fuzzy Normed Spaces

Javad Shokri

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Keywords:

intuitionistic fuzzy normed spaces, generalized Ulam-Rassias stability, functional equations

Abstract

In this paper, we determine some stability results concerning a 2-dimensional vector variable bi-additive functional equation in intuitionistic fuzzy normed spaces (IFNS). We generalize the intuitionistic fuzzy continuity to the bi-additive mappings and we prove that the existence of a solution for any approximately bi-additive mapping implies the completeness of IFNS.

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Published

2018-08-01

How to Cite

Team, S. (2018). Approximate Bi-Additive Mappings in Intuitionistic Fuzzy Normed Spaces: Javad Shokri. Thai Journal of Mathematics, 16(2), 315–333. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/796