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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Second-Order Symmetric Duality with Generalized Invexity
verfasst von : S. K. Padhan, C. Nahak
Erschienen in: Topics in Nonconvex Optimization
Verlag: Springer New York
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A pair of second-order symmetric dual programs such as Wolfe-type and Mond—Wier-type are considered and appropriate duality results are established. Second-order
ρ
− (
η
,
θ
)-bonvexity and
ρ
− (
η
,
θ
)-boncavity of the kernel function are studied. It is also observed that for a particular kernel function, both these pairs of programs reduce to general nonlinear problem introduced by Mangasarian. Many examples and counterexamples are illustrated to justify our work.