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Handbook of Generalized Convexity and Generalized Monotonicityby Nicolas Hadjisavvas; Sándor Komlósi; Siegfried Schaible
Springer 2005; US$ 349.00Studies 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. more...
Generalized Convexity, Generalized Monotonicity and Applicationsby Andrew Eberhard
Springer 2005; US$ 149.00This 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,... more...
V-Invex Functions and Vector Optimizationby Shashi Kant Mishra; Shouyang Wang; Kin Keung Lai
Springer 2007; US$ 89.95V-INVEX FUNCTIONS AND VECTOR OPTIMIZATION summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past several decades. Specifically, the book focuses on V-invex functions in vector optimization that have grown out of the work of Jeyakumar and Mond in the 1990?s. V-invex functions are areas in which there has been much interest because it allows researchers and practitioners to address and provide better solutions to problems that are nonlinear, multi-objective, fractional, and continuous in nature. Hence, V-invex functions have permitted work on a whole new class of vector optimization applications. There has been considerable work on vector optimization by some highly distinguished... more...
Generalized Convexity and Related Topicsby Igor V. Konnov; Dinh The Luc; Alexander M. Rubinov
Springer 2006; US$ 139.00Contains papers written by experts on a range of topics (economics, variational analysis, probability and others) closely related to convexity and generalized convexity, as well as contributions of specialists on the research on generalized convexity and applications, in particular, to optimization, economics and operations research. more...
Generalized Convexity and Optimizationby Laura Martein; W. Trockel
Springer 2008; US$ 109.00Offers a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. This work includes a chapter devoted to generalized monotonicity and its relationship to generalized convexity and with the characterizations of important classes of fractional programming. more...
Convex Functions, Partial Orderings, and Statistical Applicationsby Josip E. Peajcariaac; Y. L. Tong
Elsevier 1992; US$ 139.00This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Key Features * Presents classical and newly published results on convex functions and related inequalities * Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability * Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions * Will generate further research and applications more...
A Second Course on Real Functionsby A. C. M. van Rooij; W. H. Schikhof
Cambridge University Press 1982; US$ 38.00When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. more...
Optimality Conditions in Vector Optimizationby Manuel Arana Jiménez; Gabriel Ruiz Garzón; Antonio Rufián Lizana
Bentham Science Publishers 2011; US$ 59.00Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the improvements in vector optimization in mathematical programming. The aim of this Ebook is to present the latest developments in vector optimization. The contributions have been written by some of the most eminent researchers in this field of mathematical programming. The Ebook is considered essential for researchers and students in this field. more...
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