Generalized Convexity, Generalized Monotonicity and Applications (eBook, PDF)

Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity
Redaktion: Eberhard, Andrew; Luc, D. T.; Hadjisavvas, Nicolas

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 350
• Erscheinungstermin: 22. Juni 2006
• Englisch
• ISBN-13: 9780387236391
• Artikelnr.: 37288087

Autorenporträt

Andrew Eberhard, R.M.I.T., Melbourne, Australia / Nicolas Hadjisavvas, University of the Aegean, Hermoupolis, Greece / Dinh The Luc, University of Avignon, France

Inhaltsangabe

Invited Papers.- Algebraic Dynamics.- Generalized Convexity and Discrete Optimization.- Lipschitzian Stability.- Monotonicity in the Framework of Gen. Convexity.- Contributed Papers.- On the Contraction of Nenexpansiveness Properties of the Marginal Mappings.- A Projection-Type Algorithm.- Duality in Multiobjective Optimization Problems.- Duality in Fractional Programming.- On the Pseudoconvexity of the Sum.- Bonnesen-type Inequalities.- Characterizing Invex.- Minty Variational Inequality and Opt..- Second Order Optimality.- Second Order Subdifferentials.- Applying Global Opt..- E-Optimality.- Identification of Hidden Convex Minimization Problems.- On Vector Quasi-Saddle Points.- New Generalized Invexity.- Equilibrium Prices.