Handbook of Generalized Convexity and Generalized Monotonicity (Nonconvex Optimization and Its Applications)
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* Publisher: Springer
* Number Of Pages: 672
* Publication Date: 2005
* Sales Rank: 3206729
* ISBN / ASIN: 0387232559
* EAN: 9780387232553
* Binding: Hardcover
* Manufacturer: Springer
* Studio: Springer
* Average Rating:
* Total Reviews:
Book Description:
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.
Table of Contents
1 Introduction to convex and quasiconvex analysis 3
2 Criteria for generalized convexity and generalized monotonicity in the differentiable case 80
3 Continuity and differentiability of quasiconvex functions 121
4 Generalized convexity and optimality conditions in scalar and vector optimization 151
5 Generalized convexity in vector optimization 195
6 Generalized convex duality and its economic applications 237
7 Abstract convexity 293
8 Fractional programming 335
9 Generalized monotoue maps 389
10 Generalized convexity and generalized derivatives 421
11 Generalized convexity, generalized monotonicity and nonsmooth analysis 465
12 Pseudomonotone complementarity problems and variational inequalities 501
13 Generalized monotone equilibrium problems and variational inequalities 559
14 Uses of generalized convexity and generalized monotonicity in economics 619
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