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Second-order conditions are given which are sufficient to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth ...
Second-order conditions are given which are sufficient to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth ...
Feb 1, 1994 · In this paper we generalize and sharpen R.W. Chaney's results on unconstrained and constrained second-order necessary and sufficient ...
Dec 10, 2018 · For convex optimization problems, you do not need second-order conditions, because already the optimality conditions of first order characterize global ...
The following Theorem 2.2 provides first and second-order necessary conditions in nonsmooth optimization without constraint. Theorem 2.2. Suppose that y is a ...
Dec 26, 2023 · The paper is devoted to deriving novel second-order necessary and sufficient optimality conditions for local minimizers in rather general classes of nonsmooth ...
Oct 22, 2024 · Second-order optimality conditions of a proper extended real-valued nonsmooth function are obtained in this paper.
Mar 1, 2010 · This paper mainly concerns deriving first-order and second-order neces- sary (and partly sufficient) optimality conditions for a general class ...
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We use set-valued second-order directional derivatives and impose strict differentiability for necessary conditions and l -stability for sufficient conditions, ...
Dec 26, 2023 · The aim of this paper is to derive new second-order subdifferential necessary and sufficient condi- tions for local minimizers and its strong ...