Overview

Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.

Full Product Details

Author:   Nicolas Hadjisavvas ,  Sándor Komlósi ,  Siegfried S. Schaible
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2005 ed.
Volume:   76
Dimensions:   Width: 15.50cm , Height: 3.80cm , Length: 23.50cm
Weight:   2.530kg
ISBN:  

9780387232553

ISBN 10:   0387232559
Pages:   672
Publication Date:   20 October 2004
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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