Second-order optimality conditions for minimizing a maxfunction |
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Authors: | Liren Huang K. F. Ng |
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Affiliation: | 1. Department of Mathematics, South China Normal University, 510631, Guangzhou, 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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