## $$\ell$$-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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