Generalized Convexity Generalized Monotonicity Recent Results

Generalized Convexity Generalized Monotonicity Recent Results Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Generalized Convexity Generalized Monotonicity Recent Results book. This book definitely worth reading, it is an incredibly well-written.

Generalized Convexity, Generalized Monotonicity: Recent Results

Jean-Pierre Crouzeix,Juan Enrique Martinez Legaz,Michel Volle
Generalized Convexity Generalized Monotonicity Recent Results Book PDF

Author : Jean-Pierre Crouzeix,Juan Enrique Martinez Legaz,Michel Volle
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 54,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461333418

Get Book

Generalized Convexity, Generalized Monotonicity: Recent Results by Jean-Pierre Crouzeix,Juan Enrique Martinez Legaz,Michel Volle Pdf

A function is convex if its epigraph is convex. This geometrical structure has very strong implications in terms of continuity and differentiability. Separation theorems lead to optimality conditions and duality for convex problems. A function is quasiconvex if its lower level sets are convex. Here again, the geo metrical structure of the level sets implies some continuity and differentiability properties for quasiconvex functions. Optimality conditions and duality can be derived for optimization problems involving such functions as well. Over a period of about fifty years, quasiconvex and other generalized convex functions have been considered in a variety of fields including economies, man agement science, engineering, probability and applied sciences in accordance with the need of particular applications. During the last twenty-five years, an increase of research activities in this field has been witnessed. More recently generalized monotonicity of maps has been studied. It relates to generalized convexity off unctions as monotonicity relates to convexity. Generalized monotonicity plays a role in variational inequality problems, complementarity problems and more generally, in equilibrium prob lems.

Handbook of Generalized Convexity and Generalized Monotonicity

Nicolas Hadjisavvas,Sándor Komlósi,Siegfried S. Schaible
Handbook of Generalized Convexity and Generalized Monotonicity Book PDF

Author : Nicolas Hadjisavvas,Sándor Komlósi,Siegfried S. Schaible
Publisher : Springer Science & Business Media
Page : 684 pages
File Size : 52,9 Mb
Release : 2006-01-16
Category : Mathematics
ISBN : 9780387233932

Get Book

Handbook of Generalized Convexity and Generalized Monotonicity by Nicolas Hadjisavvas,Sándor Komlósi,Siegfried S. Schaible Pdf

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.

Generalized Convexity, Generalized Monotonicity and Applications

Andrew Eberhard,Nicolas Hadjisavvas,D.T. Luc
Generalized Convexity Generalized Monotonicity and Applications Book PDF

Author : Andrew Eberhard,Nicolas Hadjisavvas,D.T. Luc
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 43,6 Mb
Release : 2006-06-22
Category : Business & Economics
ISBN : 9780387236391

Get Book

Generalized Convexity, Generalized Monotonicity and Applications by Andrew Eberhard,Nicolas Hadjisavvas,D.T. Luc Pdf

In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the real world than models using conventional convex and monotone functions. Generalized convexity and monotonicity are now considered as an independent branch of applied mathematics with a wide range of applications in mechanics, economics, engineering, finance and many others. The present volume contains 20 full length papers which reflect c- rent theoretical studies of generalized convexity and monotonicity, and numerous applications in optimization, variational inequalities, equil- rium problems etc. All these papers were refereed and carefully selected from invited talks and contributed talks that were presented at the 7th International Symposium on Generalized Convexity/Monotonicity held in Hanoi, Vietnam, August 27-31, 2002. This series of Symposia is or- nized by the Working Group on Generalized Convexity (WGGC) every 3 years and aims to promote and disseminate research on the field. The WGGC (http://www.genconv.org) consists of more than 300 researchers coming from 36 countries.

Generalized Convexity and Generalized Monotonicity

Nicolas Hadjisavvas,Juan E. Martinez-Legaz,Jean-Paul Penot
Generalized Convexity and Generalized Monotonicity Book PDF

Author : Nicolas Hadjisavvas,Juan E. Martinez-Legaz,Jean-Paul Penot
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642566455

Get Book

Generalized Convexity and Generalized Monotonicity by Nicolas Hadjisavvas,Juan E. Martinez-Legaz,Jean-Paul Penot Pdf

Various generalizations of convex functions have been introduced in areas such as mathematical programming, economics, management science, engineering, stochastics and applied sciences, for example. Such functions preserve one or more properties of convex functions and give rise to models which are more adaptable to real-world situations than convex models. Similarly, generalizations of monotone maps have been studied recently. A growing literature of this interdisciplinary field has appeared, and a large number of international meetings are entirely devoted or include clusters on generalized convexity and generalized monotonicity. The present book contains a selection of refereed papers presented at the 6th International Symposium on Generalized Convexity/Monotonicity, and aims to review the latest developments in the field.

Generalized Convexity, Generalized Monotonicity, Optimality Conditions, and Duality in Scaler and Vector Optimization

Alberto Cambini,Bal Kishan Dass,Laura Martein
Generalized Convexity Generalized Monotonicity Optimality Conditions and Duality in Scaler and Vector Optimization Book PDF

Author : Alberto Cambini,Bal Kishan Dass,Laura Martein
Publisher : Unknown
Page : 416 pages
File Size : 53,6 Mb
Release : 2003
Category : Convex functions
ISBN : UOM:39015061544394

Get Book

Generalized Convexity, Generalized Monotonicity, Optimality Conditions, and Duality in Scaler and Vector Optimization by Alberto Cambini,Bal Kishan Dass,Laura Martein Pdf

The aim of this volume is to strengthen the interest in generalized convexity, generalized monotonicity and related areas and to stimulate new research in these fields by update survey (or recent results) of known experts covering many important topics such as some new theoretical aspects of generalized convexity and generalized invexity, some applications of generalized monotonicity and pseudomonotonicity to equilibrium problems and to economic and financial problems, some applications of abstract convexity, some applications of discrete convex analysis to cooperative game theory, fractional programming, optimality conditions in vector optimization (smooth and non-smooth), semi-infinite optimization and a new method for solving multiobjective problems.

Generalized Convexity, Generalized Monotonicity and Applications

Andrew Eberhard,Nicolas Hadjisavvas,D.T. Luc
Generalized Convexity Generalized Monotonicity and Applications Book PDF

Author : Andrew Eberhard,Nicolas Hadjisavvas,D.T. Luc
Publisher : Springer
Page : 0 pages
File Size : 46,8 Mb
Release : 2004-11-19
Category : Business & Economics
ISBN : 0387236384

Get Book

Generalized Convexity, Generalized Monotonicity and Applications by Andrew Eberhard,Nicolas Hadjisavvas,D.T. Luc Pdf

In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the real world than models using conventional convex and monotone functions. Generalized convexity and monotonicity are now considered as an independent branch of applied mathematics with a wide range of applications in mechanics, economics, engineering, finance and many others. The present volume contains 20 full length papers which reflect c- rent theoretical studies of generalized convexity and monotonicity, and numerous applications in optimization, variational inequalities, equil- rium problems etc. All these papers were refereed and carefully selected from invited talks and contributed talks that were presented at the 7th International Symposium on Generalized Convexity/Monotonicity held in Hanoi, Vietnam, August 27-31, 2002. This series of Symposia is or- nized by the Working Group on Generalized Convexity (WGGC) every 3 years and aims to promote and disseminate research on the field. The WGGC (http://www.genconv.org) consists of more than 300 researchers coming from 36 countries.

Optimality Conditions in Vector Optimization

Manuel Arana Jiménez,Gabriel Ruiz Garzón,Antonio Rufián Lizana
Optimality Conditions in Vector Optimization Book PDF

Author : Manuel Arana Jiménez,Gabriel Ruiz Garzón,Antonio Rufián Lizana
Publisher : Bentham Science Publishers
Page : 194 pages
File Size : 45,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9781608051106

Get Book

Optimality Conditions in Vector Optimization by Manuel Arana Jiménez,Gabriel Ruiz Garzón,Antonio Rufián Lizana Pdf

Vector 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.

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization

Qamrul Hasan Ansari,C. S. Lalitha,Monika Mehta
Generalized Convexity Nonsmooth Variational Inequalities and Nonsmooth Optimization Book PDF

Author : Qamrul Hasan Ansari,C. S. Lalitha,Monika Mehta
Publisher : CRC Press
Page : 298 pages
File Size : 42,6 Mb
Release : 2013-07-18
Category : Business & Economics
ISBN : 9781439868201

Get Book

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization by Qamrul Hasan Ansari,C. S. Lalitha,Monika Mehta Pdf

Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction. The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential. Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes.

Invexity and Optimization

Shashi K. Mishra,Giorgio Giorgi
Invexity and Optimization Book PDF

Author : Shashi K. Mishra,Giorgio Giorgi
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 54,8 Mb
Release : 2008-04-24
Category : Mathematics
ISBN : 9783540785620

Get Book

Invexity and Optimization by Shashi K. Mishra,Giorgio Giorgi Pdf

Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.

Recent Advances in Nonsmooth Optimization

Ding-Zhu Du,Liqun Qi,Robert S Womersley
Recent Advances in Nonsmooth Optimization Book PDF

Author : Ding-Zhu Du,Liqun Qi,Robert S Womersley
Publisher : World Scientific
Page : 480 pages
File Size : 41,6 Mb
Release : 1995-09-20
Category : Mathematics
ISBN : 9789814500418

Get Book

Recent Advances in Nonsmooth Optimization by Ding-Zhu Du,Liqun Qi,Robert S Womersley Pdf

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure. This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization. Contents:Hybrid Methods for Finding the Nearest Euclidean Distance Matrix (S Al-Homidan & R Fletcher)On Generalized Differentiability of Optimal Solutions and Its Application to an Algorithm for Solving Bilevel Optimization Problems (S Dempe)An Elementary Rate of Convergence Proof for the Deep Cut Ellipsoid Algorithm (J B G Frenk & J Gromicho)On Second-Order Directional Derivatives in Nonsmooth Optimization (L R Huang & K F Ng)Sensitivity of Solutions in Nonlinear Programming Problems with Nonunique Multipliers (A B Levy & R T Rockafellar)Necessary and Sufficient Conditions for Solution Stability of Parametric Nonsmooth Equations (J-S Pang)Characterizations of Optimality for Homogeneous Programming Problems with Applications (A M Rubinov & B M Glover)A Globally Convergent Newton Method for Solving Variational Inequality Problems with Inequality Constraints (K Taji & M Fukushima)A Successive Approximation Quasi-Newton Process for Nonlinear Complementarity Problem (S-Z Zhou et al.)and other papers Readership: Students, academics and industry professionals. keywords:

Encyclopedia of Optimization

Christodoulos A. Floudas,Panos M. Pardalos
Encyclopedia of Optimization Book PDF

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 48,9 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583

Get Book

Encyclopedia of Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Population Games and Evolutionary Dynamics

William H. Sandholm
Population Games and Evolutionary Dynamics Book PDF

Author : William H. Sandholm
Publisher : MIT Press
Page : 618 pages
File Size : 43,7 Mb
Release : 2010-12-17
Category : Business & Economics
ISBN : 9780262195874

Get Book

Population Games and Evolutionary Dynamics by William H. Sandholm Pdf

Evolutionary game theory studies the behaviour of large populations of strategically interacting agents & is used by economists to predict in settings where traditional assumptions about the rationality of agents & knowledge may be inapplicable.

Generalized Convexity and Optimization

Alberto Cambini,Laura Martein
Generalized Convexity and Optimization Book PDF

Author : Alberto Cambini,Laura Martein
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 55,5 Mb
Release : 2008-10-14
Category : Mathematics
ISBN : 9783540708766

Get Book

Generalized Convexity and Optimization by Alberto Cambini,Laura Martein Pdf

The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.

Convex Analysis in General Vector Spaces

C. Zalinescu
Convex Analysis in General Vector Spaces Book PDF

Author : C. Zalinescu
Publisher : World Scientific
Page : 389 pages
File Size : 43,5 Mb
Release : 2002
Category : Science
ISBN : 9789812380678

Get Book

Convex Analysis in General Vector Spaces by C. Zalinescu Pdf

The primary aim of this book is to present the conjugate and sub/differential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.

Generalized Convexity

Sandor Komlosi,Tamas Rapcsak,Siegfried Schaible
Generalized Convexity Book PDF

Author : Sandor Komlosi,Tamas Rapcsak,Siegfried Schaible
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642468025

Get Book

Generalized Convexity by Sandor Komlosi,Tamas Rapcsak,Siegfried Schaible Pdf

Generalizations of the classical concept of a convex function have been proposed in various fields such as economics, management science, engineering, statistics and applied sciences during the second half of this century. In addition to new results in more established areas of generalized convexity, this book presents several important developments in recently emerging areas. Also, a number of interesting applications are reported.