Abstract. In the current work, we define and find the general solution of the decic functional equation g(x + 5y) − 10g(x + 4y) + 45g(x + 3y) − 120g(x + 2y)where 10! = 3628800. We also investigate and establish the generalized Ulam-Hyers stability of this functional equation in Banach spaces, generalized 2-normed spaces and random normed spaces by using direct and fixed point methods.
In this paper, we have established the general solution and generalized Ulam -Hyers stability of the following nonic functional equationwhere 9! = 362880 in a Banach Space (BS), Felbin's type Fuzzy Normed Space (FFNS) and Intuitionistic Fuzzy Normed Space (IFNS) using the standard direct and fixed point method.
In this paper, authors verify the generalized Ulam -Hyers stability of the following Euler -Lagrange additive functional equationin Intuitionistic Fuzzy Banach Spaces using direct and fixed point methods.
In this paper, the authors test the generalized Ulam -Hyers stability of the additive-quadratic and cubic-quartic functional equationsvia Quasi-Beta Banach space and Intuitionistic fuzzy Banach space using direct and fixed point methods.
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