Stability of Stationary and Minimum Points
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It is of course well known that two functions may differ uniformly by a small amount and yet their derivatives may differ widely. However, there are certain cases in which these derivatives may even be equal, provided they are evaluated at slightly different points, as in case n = 1 of Theorem 11.1 below. This was proved by S.M. Ulam and D.H. Hyers (1954) (see also Th.M. Rassias (m)).
KeywordsFunctional Equation Minimum Problem Minimum Point Absolute Minimum Tangent Cone
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