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\(\ell \)-stable functions are continuous. (English) Zbl 1158.49022

Summary: It has been shown that \(\ell \)-stability of the function at some point implies continuity near the point. Then the previous second-order optimality condition introduced by the authors can be stated under weak assumptions.

MSC:

49K10 Optimality conditions for free problems in two or more independent variables
26B05 Continuity and differentiation questions
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References:

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