Solution and intuitionistic fuzzy stability of 3-dimensional cubic functional equation: using two different methods
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Authors
Jyotsana Jakhar
- Department of Mathematics, M.D. University, Rohtak-124001, Haryana, India.
Renu Chugh
- Department of Mathematics, M.D. University, Rohtak-124001, Haryana, India.
Jagjeet Jakhar
- Department of Mathematics, Central University of Haryana, Mahendergarh-123031, Haryana, India.
Abstract
In this article, we adopt fixed point method and direct method to find the solution and Intuitionistic fuzzy stability of 3-dimensional cubic functional equation
\begin{eqnarray*} g(2u_{1} + u_{2} + u_{3}) &=& 3g(u_{1} + u_{2} + u_{3}) + g( - u_{1} + u_{2} + u_{3}) + 2g(u_{1} + u_{2})+ 2g(u_{1} + u_{3}) -6g(u_{1} - u_{2}) -6g(u_{1} - u_{3}) \\& &\quad- 3g( u_{2} + u_{3}) + 2g(2u_{1} - u_{2}) + 2g(2u_{1} - u_{3}) - 18g(u_{1}) -6g( u_{2}) -6g(u_{3}).\end{eqnarray*}
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ISRP Style
Jyotsana Jakhar, Renu Chugh, Jagjeet Jakhar, Solution and intuitionistic fuzzy stability of 3-dimensional cubic functional equation: using two different methods, Journal of Mathematics and Computer Science, 25 (2022), no. 2, 103--114
AMA Style
Jakhar Jyotsana, Chugh Renu, Jakhar Jagjeet, Solution and intuitionistic fuzzy stability of 3-dimensional cubic functional equation: using two different methods. J Math Comput SCI-JM. (2022); 25(2):103--114
Chicago/Turabian Style
Jakhar, Jyotsana, Chugh, Renu, Jakhar, Jagjeet. "Solution and intuitionistic fuzzy stability of 3-dimensional cubic functional equation: using two different methods." Journal of Mathematics and Computer Science, 25, no. 2 (2022): 103--114
Keywords
- Functional equations
- intuitionistic fuzzy Banach space
- fixed point method
- direct method
MSC
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