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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets |
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| Authors: | N Q Huy J-C Yao |
| Institution: | 1. Department of Mathematics, Hanoi Pedagogical University No. 2, Vinh Phuc, Vietnam 2. Center for General Education, Kaohsiung Medical University, Kaohsiung, 807, Taiwan 3. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan |
| Abstract: | In this paper, without using any regularity assumptions, we derive a new exact formula for computing the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets. Our development establishes generalizations and complements of the existing results on the topic. An example to illustrate formulae is given. |
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