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- W144435543 abstract "Let E be a set. We show that the theories of M-convex [5] and w-convex [8] sets G⊂E, where M is a family of subsets M⊂E and w a family of functionals w:E→R=[−∞+∞], are equivalent. We show that the theories of M-quasi-convex and W-quasi-convex functionals f: E→R (which we introduce here) and of w-convex [6] functionais f: E→R, are equivalent. we study the corresponding functional hulls and their connections with second w-conjugates ([24], [6]) of functionais f: E∙R. We show that this is a suitable framework for a general theory of conjugate duality in optimization." @default.
- W144435543 created "2016-06-24" @default.
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- W144435543 date "1984-01-01" @default.
- W144435543 modified "2023-09-23" @default.
- W144435543 title "Generalized Convexity, Functional Hulls and Applications to Conjugate Duality in Optimization" @default.
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- W144435543 doi "https://doi.org/10.1007/978-3-642-45567-4_5" @default.
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