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Second-order sufficient condition for \(\ell\)-stable function. (English) Zbl 1153.49311

Summary: The aim of our article is to present a proof of the existence of local minimizers in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we provide rather elementary and self-contained proof of that result.

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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