Necessary Conditions for Constrained Optimization Problems with Semicontinuous and Continuous Data

By J. M. Borwein, J. S. Treiman and Q. J. Zhu


Abstract: We consider nonsmooth constrained optimization problems with semicontinuous and continuous data in Banach space and derive necessary conditions without constraint qualification in terms of smooth subderivatives and normal cones. These results, in different versions, are set in reflexive and smooth Banach spaces.

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