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On vector optimality conditions for constrained problems with \(\ell \)-stable data (Q2826338)

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scientific article; zbMATH DE number 6639560
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English
On vector optimality conditions for constrained problems with \(\ell \)-stable data
scientific article; zbMATH DE number 6639560

    Statements

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    14 October 2016
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    \({\ell}\)-stable function
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    Dini derivative
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    isolated local minimizer
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    local weakly efficient point
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    On vector optimality conditions for constrained problems with \(\ell \)-stable data (English)
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    The author continues the study of \({\ell}\)-stable functions and their possible use in vector optimization. The first main result is Theorem 3.3, where the author weakes the requirement on critical directions in certain optimality problems of second order with respect to the previous obtained result. The second main result is established in Theorem 4.1 for necessary optimality condition.NEWLINENEWLINENEWLINEI appreciate that the author demonstrates the advantages of her result in interesting Examples 3.1 and 4.1.
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