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Titlebook: Selected Topics in Operations Research and Mathematical Economics; Proceedings of the 8 Gerald Hammer,Diethard Pallaschke Conference procee

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Lecture Notes in Economics and Mathematical Systemshttp://image.papertrans.cn/s/image/864259.jpg
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On a Class of Nonconvex Optimization Problemsthe last years, especially optimality conditions and duality theorems were proved (/4/, /5/). The polarity in projective space (the geometrical basis of Φ -conjugation) was used for finding new results. Here we mention the connection between optimality conditions and Lagrange duality for such noncon
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A New Approach to Symmetric Quasiconvex Conjugacyconjugation introduced by P.O. Lindberg in the case of Φ being the indicator functional of a certain graph. We also derive from the model of P.O. Lindberg a duality theory for quasiconvex optimization problems defined by bifunctions.
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Generalized Convexity, Functional Hulls and Applications to Conjugate Duality in Optimizationw:E→R̄=[−∞+∞], are equivalent. We show that the theories of M-quasi-convex and W-quasi-convex functionals f: E→R̄ (which we introduce here) and of w-convex [6] functionais f: E→R̄, are equivalent. we study the corresponding functional hulls and their connections with second w-conjugates ([24], [6])
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