Abstract
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.
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Padhan, S.K., Nahak, C. (2011). Second-Order Symmetric Duality with Generalized Invexity. In: Mishra, S. (eds) Topics in Nonconvex Optimization. Springer Optimization and Its Applications(), vol 50. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9640-4_12
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DOI: https://doi.org/10.1007/978-1-4419-9640-4_12
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