Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces

Pratap Mondal; Nabin Chandra Kayal; T K Samanta

EN

Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces

Abstract

Hyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in case of approximation of a given functional equation in Banach spaces, fuzzy Banach spaces etc. In this paper, we wish to study generalized Hyers-Ulam-Rassias stability regarding the approximation
of the following quadratic functional equation
f(2x + y) − f(x + 2y) = 3f(x) − 3f(y) (1)
in intuitionistic fuzzy Banach spaces.

Keywords

Intuitionistic fuzzy norm,Hyers-Ulam stability,quadratic functional equation,Intuitionistic fuzzy Banach spaces

References

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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Pratap Mondal This is me

Nabin Chandra Kayal This is me

T K Samanta This is me

Publication Date

May 5, 2016

Submission Date

May 11, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 5 Number: 10

IZ

https://izlik.org/JA94MX83TT

APA

Mondal, P., Kayal, N. C., & Samanta, T. K. (2016). Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces. Journal of New Results in Science, 5(10), 52-59. https://izlik.org/JA94MX83TT

AMA

1.Mondal P, Kayal NC, Samanta TK. Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces. JNRS. 2016;5(10):52-59. https://izlik.org/JA94MX83TT

Chicago

Mondal, Pratap, Nabin Chandra Kayal, and T K Samanta. 2016. “Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces”. Journal of New Results in Science 5 (10): 52-59. https://izlik.org/JA94MX83TT.

EndNote

Mondal P, Kayal NC, Samanta TK (February 1, 2016) Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces. Journal of New Results in Science 5 10 52–59.

IEEE

[1]P. Mondal, N. C. Kayal, and T. K. Samanta, “Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces”, JNRS, vol. 5, no. 10, pp. 52–59, Feb. 2016, [Online]. Available: https://izlik.org/JA94MX83TT

ISNAD

Mondal, Pratap - Kayal, Nabin Chandra - Samanta, T K. “Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces”. Journal of New Results in Science 5/10 (February 1, 2016): 52-59. https://izlik.org/JA94MX83TT.

JAMA

1.Mondal P, Kayal NC, Samanta TK. Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces. JNRS. 2016;5:52–59.

MLA

Mondal, Pratap, et al. “Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces”. Journal of New Results in Science, vol. 5, no. 10, Feb. 2016, pp. 52-59, https://izlik.org/JA94MX83TT.

Vancouver

1.Pratap Mondal, Nabin Chandra Kayal, T K Samanta. Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces. JNRS [Internet]. 2016 Feb. 1;5(10):52-9. Available from: https://izlik.org/JA94MX83TT