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Optimality Conditions for Lower Semi-continuous Functions

Author: Chou C.C.   Li X.   Ng K.F.   Shi S.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.202, Iss.2, 1996-09, pp. : 686-700

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Abstract

Let f be a lower semi-continuous and bounded below function from a Banach space X into (-[infinity], +[infinity]] where X is assumed to admit a Lipschitz smooth "bump-function." Generalizing results of Chaney, we study optimality conditions for bar xin X to be a local minimum point of f . These conditions are described in terms of generalized Chaney's subdifferentials and second-order derivatives.