Abstract
In this paper, we investigate the generalized Hyers-Ulam stability of a reciprocal type functional equation in several variables in matrix non-Archimedean random normed spaces by direct and fixed point methods.
Highlights
About years ago, Ulam [ ] raised the well-known stability problem of functional equations
In, a further generalization of the Rassias theorem was obtained by Gavruta [ ], who replaced the bound θ ( x p + y p) by a general control function φ(x, y)
The stability problems of several functional equations have been extensively investigated by a number of mathematicians, posed with creative thinking and critical dissent who have arrived at interesting results
Summary
About years ago, Ulam [ ] raised the well-known stability problem of functional equations. In the year , Ravi and Senthil Kumar [ ] investigated the generalized Hyers-Ulam stability for the reciprocal functional equation r(x)r(y) r(x + y) = Ravi et al [ ] obtained the general solution and investigated the generalized Hyers-Ulam stability of a reciprocal type functional equation in several variables of the form m =
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