Overview

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.

Full Product Details

Author:   Andrew Eberhard ,  Nicolas Hadjisavvas ,  D.T. Luc
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   77
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.551kg
ISBN:  

9781441936479

ISBN 10:   1441936475
Pages:   350
Publication Date:   29 November 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
We will order this item for you from a manufatured on demand supplier.

Table of Contents

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.

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