Second-order necessary and sufficient conditions in nonsmooth optimization

LR Huang, KF Ng - Mathematical programming, 1994 - Springer
LR Huang, KF Ng
Mathematical programming, 1994Springer
… In this paper we generalize and sharpen RW Chaney's results on unconstrained and
constrained second-order necessary and sufficient optimality conditions [5-7] for general
Lipschitz functions without the semismoothness assumption … In recent years, many results
on necessary and sufficient optimality conditions for nonsmooth optimization problems have
been presented. A common feature of these results [213] is the use of various kinds of …
We begin with the following technical result which will be useful for the proof of our main …
Abstract
In this paper we generalize and sharpen R.W. Chaney's results on unconstrained and constrained second-order necessary and sufficient optimality conditions [5–7] for general Lipschitz functions without the semismoothness assumption
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