Fixed Point And Generalized Hyers-ulam-rassias Stability Of A Quadratic Functional Equation

Abstract

In this paper , using the fixed point alternative approach , we investigate the Hyers Ulam-Rassias

Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

“…for all x ∈ E. [3][4][5]7,9,[14][15][16]23]). Many research monographs are also available in functional equations, one can see [1,6,[11][12][13].…”

A New Approach to Involution in Fuzzy C★-Algebra via Functional Inequality and Python Implementation

“…An investigation into the relationship between Ulam's stability and self-testing correcting programs has recently been carried out in [13]. Based on this research, we aim to implement Hyers-Ulam stability in fuzzy C algebra by using the Python programming language.…”

Remarks on solutions to the functional equations of the radical type

“…x n + y n = f (x) + f (y), (1.2) which for k = 2, 3, 4 have been considered in [2,3,5,7,8,9,12,15], and some descriptions of solutions to it have been proposed (not always complete and correct). Moreover, the solutions and the Ulam type stability of the equation f ax 2 + by 2 = af (x) + bf (y) (1.3) have been considered in [9,10], for functions f mapping R into a real linear space X, with real a, b > 0 such that a + b = 1.…”