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|Paper IPM / M / 15387||
A nonsmooth and nonconvex general optimization problem is considered. Using the
idea of pseudo-Jacobians, nonsmooth versions of the Robinson and Mangasarianï¿½??
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 FrÃ©chet and
limiting subdifferentials of value functions. Moreover, several examples are provided
to clarify the obtained results.
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