Nonconvex Optimization and Its Applications

By: Nicolas Hadjisavvas (Editor), SÃ¡ndor KomlÃ³si (Editor), Siegfried S. Schaible (Editor)

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Hardcover | 20 October 2004

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696 Pages

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23.5 x 16.51 x 3.81

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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.

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You Can Find This Book In

Non-Fiction Mathematics Probability & Statistics Optimisation Game Theory Linear Programming Calculus & Mathematical Analysis Real Analysis Applied Mathematics Reference, Information & Interdisciplinary Subjects Encyclopaedias & Reference Works Reference Works

Business & Management Operational Research Functional Analysis & Transforms Management & Management Techniques

Introduction to convex and quasiconvex analysis	p. 3
Criteria for generalized convexity and generalized monotonicity in the differentiable case	p. 80
Continuity and differentiability of quasiconvex functions	p. 121
Generalized convexity and optimality conditions in scalar and vector optimization	p. 151
Generalized convexity in vector optimization	p. 195
Generalized convex duality and its economic applications	p. 237
Abstract convexity	p. 293
Fractional programming	p. 335
Generalized monotoue maps	p. 389
Generalized convexity and generalized derivatives	p. 421
Generalized convexity, generalized monotonicity and nonsmooth analysis	p. 465
Pseudomonotone complementarity problems and variational inequalities	p. 501
Generalized monotone equilibrium problems and variational inequalities	p. 559
Uses of generalized convexity and generalized monotonicity in economics	p. 619
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Nonconvex Optimization and Its Applications

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