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Titlebook: Generalized Convexity and Related Topics; Igor V. Konnov,Dinh The Luc,Alexander M. Rubinov Conference proceedings 2006 Springer-Verlag Ber

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Particular Kinds of Relationship Type,p) to be pseudomonotone. The given results are in terms of the sign of the determinants of the principal submatrices and of the cofactors of . in the nonsingular case and in terms of the structure of . in the singular case. A complete characterization of pseudomonotonicity in terms of the coefficien
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https://doi.org/10.1007/978-3-540-72677-7d the convexity of the sum of convex functions. Global optimality of local minima is then studied both for single variable functions and for multi variables ones. Finally, a concrete optimal fleet mix problem is studied, pointing out its discrete convexity properties.
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,Rogers’ model of unitary human beings,optimal level solutions method. In other words, the problems are solved by analyzing, explicitly or implicitly, the optimal solutions of particular quadratic strictly convex parametric subproblems. In particular, it is pointed out that some of these problems share the same set of optimal level solut
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The Nature of the Chemical Bond 1993,unction and a linear one. Furthemore we prove that the ratio between a quadratic fractional function and the cube of an affine one is pseudoconvex if and only if the product between a quadratic fractional function and an affine one is pseudoconvex and we provide a sort of canonical form for this lat
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Carmel M. Diezmann,Susan J. Grieshaberℝ. are closed convex cones. Two type of solutions are important for our considerations, namely .-minimizers (isolated minimizers) of order . and .minimizers (properly efficient points) of order . (see e.g. [.]). Every .-minimizer of order . ≥ 1 is a .-minimizer of order .. For . = 1, conditions unde
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https://doi.org/10.1007/978-3-030-45270-4icient conditions are obtained using a new order representing property and a new monotonicity concept, respectively. A family of gauge functions defined by generalized Chebyshev norms and verifying both properties is introduced in order to characterize approximate solutions of vector optimization pr
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978-3-540-37006-2Springer-Verlag Berlin Heidelberg 2006
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