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Received July 28, 2018; Accepted February 3, 2019; Published February 16, 2019
Abstract. The notion of Lipschitz stability type problems was introduced by Tabor and Czerwik. In this paper, we prove Lipschitz stability of multi-cubic functional equations. Indeed, we prove under certain Lipschitz conditions a family of functions can be approximated by multi-cubic functions.
How to Cite this Article:
Ismail Nikoufar, Stability of multi-cubic functions via Lipschitz criteria, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 6, pp. 1-11.