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＜電子ブック＞
Generalized Convexity, Generalized Monotonicity and Applications : Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity / edited by Andrew Eberhard, Nicolas Hadjisavvas, D.T. Luc
(Nonconvex Optimization and Its Applications ; 77)

版	1st ed. 2005.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2005
本文言語	英語
大きさ	X, 350 p. 6 illus : online resource
著者標目	Eberhard, Andrew editor Hadjisavvas, Nicolas editor Luc, D.T editor SpringerLink (Online service)
件　名	LCSH:Operations research LCSH:Management science LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Game theory FREE:Operations Research, Management Science FREE:Optimization FREE:Calculus of Variations and Optimization FREE:Game Theory
一般注記	Invited Papers -- Algebraic Dynamics of Certain Gamma Function Values -- (Generalized) Convexity and Discrete Optimization -- Lipschitzian Stability of Parametric Constraint Systems in Infinite Dimensions -- Monotonicity in the Framework of Generalized Convexity -- Contributed Papers -- On the Contraction and Nonexpansiveness Properties of the Marginal Mappings in Generalized Variational Inequalities Involving Co-Coercive Operators -- A Projection-Type Algorithm for Pseudomonotone Nonlipschitzian Multivalued Variational Inequalities -- Duality in Multiobjective Optimization Problems with Set Constraints -- Duality in Fractional Programming Problems with Set Constraints -- On the Pseudoconvexity of the Sum of Two Linear Fractional Functions -- Bonnesen-Type Inequalities and Applications -- Characterizing Invex and Related Properties -- Minty Variational Inequality and Optimization: Scalar and Vector Case -- Second Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems -- Second Order Subdifferentials Constructed Using Integral Convolutions Smoothing -- Applying Global Optimization to a Problem in Short-Term Hydrothermal Scheduling -- ?-Optimality for Nonsmooth Programming on a Hilbert Space -- Identification of Hidden Convex Minimization Problems -- On Vector Quasi-Saddle Points of Set-Valued Maps -- New Generalized Invexity for Duality in Multiobjective Programming Problems Involving N-Set Functions -- Equilibrium Prices and Quasiconvex Duality This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian stability of parametric constraint systems, and monotonicity of functions. The second part contains contributions presenting the latest developments in generalized convexity and generalized monotonicity: its connections with discrete and with continuous optimization, multiobjective optimization, fractional programming, nonsmooth Aanalysis, variational inequalities, and its applications to concrete problems such as finding equilibrium prices in mathematical economics, or hydrothermal scheduling. Audience This volume is suitable for faculty, graduate students, and researchers in mathematical programming, operations research, convex analysis, nonsmooth analysis, game theory and mathematical economics HTTP:URL=https://doi.org/10.1007/b102138

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