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Titlebook: Generalized Convexity, Generalized Monotonicity and Applications; Proceedings of the 7 Andrew Eberhard,Nicolas Hadjisavvas,Dinh The Luc Con

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Logic and Proof Beyond Equalitysentation of a polynomial function as a difference of convex polynomials. An adapted algorithm, which uses a combined method of outer approximation and prismatical subdivisions, has been implemented to solve this problem. The solution obtained with a local optimization package is also included and t
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Andrew Eberhard,Nicolas Hadjisavvas,Dinh The LucBased on talks presented at the 7th International Symposium on generalized convexity and generalized monotonicity.Includes supplementary material:
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https://doi.org/10.1007/b102138Convexity; Hilbert space; algorithms; game theory; global optimization; multi-objective optimization; oper
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https://doi.org/10.1007/978-1-4757-4843-7A characterization of ., given by Glover and Craven, is extended to functions in abstract spaces. . for a vector function coincides with . in a restricted set of directions. The . property of Jeyakumar and Mond is also characterized. Some differentiability properties of the invex . are also obtained.
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