Title: LIPSCHITZ<i>r</i>-INVEX FUNCTIONS AND NONSMOOTH PROGRAMMING
Abstract: ABSTRACT In the paper, a family of real Lipschitz functions, called r-invex, which represents a generalization of the notion of invexity is introduced. The principal analytic tool is the generalized gradient of Clarke for Lipschitz functions. Furthermore, under appropriate r-invexity assumptions, necessary optimality conditions of the Slater type and sufficient optimality conditions are obtained for a nonsmooth programming problem. Also some duality results are obtained for such problems.
Publication Year: 2002
Publication Date: 2002-01-09
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 16
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