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| Paper IPM / M / 17627 |
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| Abstract: | |
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In this paper, a nonsmooth nonconvex robust optimization problem is considered.
Using the idea of pseudo-differential, nonsmooth versions of the Robinson, Mangasarianâ??
Fromovitz and Abadie constraint qualifications are introduced and their
relations with the existence of a local error bound are investigated. Based on the
pseudo-differential notion, new necessary optimality conditions are derived under
the Abadie constraint qualification. Moreover, an example is provided to clarify the
results.
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