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A Fixed Point Approach to Stability of Cubic Lie Derivatives in Banach Algebras
Journal article   Peer reviewed

A Fixed Point Approach to Stability of Cubic Lie Derivatives in Banach Algebras

Seong Sik Kim, John Michael Rassias, Afrah A. N. Abdou and Yeol Je Cho
Journal of computational analysis and applications, Vol.19(2), pp.378-388
01/08/2015

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In this paper, we investigate the new stability, superstability and hyperstability of the cubic Lie derivations associated with the system of general cubic functional equations: {f(xy) = x(3) f(y) + f(x)y(3,) f(x + ky) - kf(x + y) + kf(x - y) - f(x - ky) = 2k(k(2) - 1)f(y) in Banach algebras.

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