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＜電子ブック＞
Handbook of Generalized Convexity and Generalized Monotonicity / edited by Nicolas Hadjisavvas, Sándor Komlósi, Siegfried S. Schaible
(Nonconvex Optimization and Its Applications ; 76)

版	1st ed. 2005.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	2005
本文言語	英語
大きさ	XX, 672 p : online resource
著者標目	Hadjisavvas, Nicolas editor Komlósi, Sándor editor Schaible, Siegfried S editor SpringerLink (Online service)
件　名	LCSH:Functions of real variables LCSH:Game theory LCSH:Operations research LCSH:Management science FREE:Real Functions FREE:Game Theory FREE:Operations Research, Management Science
一般注記	to Convex and Quasiconvex Analysis -- Criteria for Generalized Convexity and Generalized Monotonicity in the Differentiable Case -- Continuity and Differentiability of Quasiconvex Functions -- Generalized Convexity and Optimality Conditions in Scalar and Vector Optimization -- Generalized Convexity in Vector Optimization -- Generalized Convex Duality and its Economic Applicatons -- Abstract Convexity -- Fractional Programming -- Generalized Monotone Maps -- Generalized Convexity and Generalized Derivatives -- Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis -- Pseudomonotone Complementarity Problems and Variational Inequalities -- Generalized Monotone Equilibrium Problems and Variational Inequalities -- Uses of Generalized Convexity and Generalized Monotonicity in Economics Various generalizations of the classical concept of a convex function have been introduced, especially during the second half of the 20th century. Generalized convex functions are the many nonconvex functions which share at least one of the valuable properties of convex functions. Apart from their theoretical interest, they are often more suitable than convex functions to describe real-word problems in disciplines such as economics, engineering, management science, probability theory and in other applied sciences. More recently, generalized monotone maps which are closely related to generalized convex functions have also been studied extensively. While initial efforts to generalize convexity and monotonicity were limited to only a few research centers, today there are numerous researchers throughout the world and in various disciplines engaged in theoretical and applied studies of generalized convexity/monotonicity (see http://www.genconv.org). The Handbook offers a systematic and thorough exposition of the theory and applications of the various aspects of generalized convexity and generalized monotonicity. It is aimed at the non-expert, for whom it provides a detailed introduction, as well as at the expert who seeks to learn about the latest developments and references in his research area. Results in this fast growing field are contained in a large number of scientific papers which appeared in a variety of professional journals, partially due to the interdisciplinary nature of the subject matter. Each of its fourteen chapters is written by leading experts of the respective research area starting from the very basics and moving on to the state of the art of the subject. Each chapter is complemented by a comprehensive bibliography which will assist the non-expert and expert alike HTTP:URL=https://doi.org/10.1007/b101428

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