Second-order optimality conditions for minimizing a max-function |
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| Authors: | HUANG Liren K F Ng |
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| Institution: | 1. Department of Mathematics, South China Normal University, Guangzhou 510631, China
2. Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, China |
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| Abstract: | We study Chaney's and Ben-Tal-Zowe's second-order directional derivatives with applications in minimization problem for max-functions
of the formh(x): = max {f(x, τ); τ ∈T},where T is a compact metricspace. We improve Kawasaki's result on necessary condition for such functions in the minimization
problem. |
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| Keywords: | max-function sup-type function second-order optimality condition nonsmooth optimization |
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