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| Paper IPM / M / 15387 |
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| Abstract: | |
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A nonsmooth and nonconvex general optimization problem is considered. Using the
idea of pseudo-Jacobians, nonsmooth versions of the Robinson and Mangasarian�??
Fromovitz constraint qualifications are defined and relationships between them and
the local error bound property are investigated. A new necessary optimality condition,
based on the pseudo-Jacobians, is derived under the local error bound constraint
qualification. These results are applied for computing and estimating the Fréchet and
limiting subdifferentials of value functions. Moreover, several examples are provided
to clarify the obtained results.
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