INTUITIONISTIC FUZZY STABILITY OF CUBIC FUNCTIONAL EQUATION

Author (s) : P.Muthukumar, Mr.V.R.Manimaran, P.Sowmiya, G.Meenatchi

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Abstract :
In this study, we explore the generalized Ulam-Hyers stability of the cubic functional equation in Intuitionistic Fuzzy Normed spaces, employing both direct and fixed-point approaches. The investigation revolves around understanding the behavior and stability properties of the cubic functional equation under certain conditions within the context of Intuitionistic Fuzzy Normed spaces. The concept of generalized Ulam-Hyers stability is of significant interest in mathematical analysis as it deals with the sensitivity of functional equations to perturbations, specifically in the setting of Intuitionistic Fuzzy Normed spaces. The direct and fixed-point approaches provide valuable mathematical tools for analyzing and determining the stability of the cubic functional equation. The results obtained from this research shed light on the robustness and resilience of the solutions to the cubic functional equation under variations and perturbations in the Intuitionistic Fuzzy Normed spaces. Such insights have practical implications in fields like decision-making, pattern recognition, and optimization, where Intuitionistic Fuzzy Normed spaces find applications. This work contributes to the broader understanding of stability in functional equations and their significance in various mathematical and applied contexts.

Keywords : Cubic Functional Equation, Fixed point.

Conference Date : 13/11/2020

Pages : 35

Paper ID : 20035