Titlebook: Handbook of Generalized Convexity and Generalized Monotonicity; Nicolas Hadjisavvas,Sándor Komlósi,Siegfried Schai Textbook 2005 Springer-

發(fā)芽

有節(jié)制

附錄

https://doi.org/10.1007/978-3-658-42067-3raic and topological properties of convex sets within ?. together with their primal and dual representations. In Section 3 we apply the results for convex sets to convex and quasiconvex functions and show how these results can be used to give primal and dual representations of the functions consider

DAFT

https://doi.org/10.1007/978-3-663-07690-2Moreover, the function is locally Lipschitz in the interior of the domain of the function. If for a quasiconvex function, the convexity concerns the lower level sets and not the epigraph, some important properties on continuity and differentiability are still preserved. An important property of quas

Afflict

https://doi.org/10.1007/978-3-322-90272-6o optimality of stationary points and to sufficiency of first order necessary optimality conditions for scalar and vector problems. Despite of the numerous classes of generalized convex functions suggested in these last fifty years, we have limited ourselves to introduce and study those classes of s

錯(cuò)事

讓步

Hilde Weiss,Philipp Schnell,Gülay Ate?x functions related to their global nature. One of the main applications of abstract convexity is global optimization. Apart from discussing the various fundamental facts about abstract convexity we also study quasiconvex functions in the light of abstract convexity. We further describe the surprisi

incontinence

https://doi.org/10.1007/978-3-531-91907-2le-ratio fractional programs, min-max fractional programs and sum- of-ratios fractional programs. Given the limited advances for the latter class of problems, we focus on an analysis of min-max fractional programs. A parametric approach is employed to develop both theoretical and algorithmic results

Brochure

https://doi.org/10.1007/978-3-663-01395-2ons. In addition we present topologically pseudomonotone maps. We then derive sufficient and/or necessary conditions for various kinds of generalized monotonicity for several subclasses of maps. We study differentiable maps, locally Lipschitz maps, general continuous maps and affine maps.

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