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- W2511267553 abstract "In this paper, in terms of three types of generalized second-order derivatives of a nonsmooth function, we mainly study the corresponding second-order optimality conditions in a Hilbert space and prove the equivalence among these optimality conditions for paraconcave functions. As applications, we use these second-order optimality conditions to study strict local minimizers of order two and provide sufficient and/or necessary conditions for ensuring the local minimizer. This work extends and generalizes the study on second-order optimality conditions from the finite-dimensional space to the Hilbert space." @default.
- W2511267553 created "2016-09-16" @default.
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- W2511267553 date "2016-07-22" @default.
- W2511267553 modified "2023-10-17" @default.
- W2511267553 title "Second-order Optimality Conditions by Generalized Derivatives and Applications in Hilbert Spaces" @default.
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- W2511267553 doi "https://doi.org/10.48550/arxiv.1607.06569" @default.
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