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

نویسندگان
Samanta, Tapas Kumar ID 1
Saha, Parbati ID 2
Choudhury, Binayak S. ID 3
Chandra Kayal, Nabin ID 4

1 Department of Mathematics, Uluberia College, Uluberia, Howrah - 711315, West Bengal, India

2 Department of Mathematics, Indian Institute Of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India

3 Department of Mathematics, Indian Institute Of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India

4 Department of Mathematics, Indian Institute Of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India

doi
10.22111/ijfs.2016.2755
چکیده

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.

کلیدواژه‌ها
Cubic functional equations, t-norm, t-conorm, Intuitionistic fuzzy Banach space, Hyers-Ulam-Rassias stability