Variational Inequalities And Complementarity Problems


Variational Inequalities And Complementarity Problems
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Finite Dimensional Variational Inequalities And Complementarity Problems


Finite Dimensional Variational Inequalities And Complementarity Problems
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Author : Francisco Facchinei
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-14

Finite Dimensional Variational Inequalities And Complementarity Problems written by Francisco Facchinei and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-14 with Mathematics categories.


This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.



Variational Inequalities And Complementarity Problems


Variational Inequalities And Complementarity Problems
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Author : Richard W. Cottle
language : en
Publisher:
Release Date : 1979

Variational Inequalities And Complementarity Problems written by Richard W. Cottle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Calculus of variations categories.




Complementarity And Variational Problems


Complementarity And Variational Problems
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Author : Michael C. Ferris
language : en
Publisher: SIAM
Release Date : 1997-01-01

Complementarity And Variational Problems written by Michael C. Ferris and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.


After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.



Finite Dimensional Variational Inequalities And Complementarity Problems


Finite Dimensional Variational Inequalities And Complementarity Problems
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Author : Francisco Facchinei
language : en
Publisher: Springer
Release Date : 2013-04-16

Finite Dimensional Variational Inequalities And Complementarity Problems written by Francisco Facchinei and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-16 with Business & Economics categories.


This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.



Finite Dimensional Variational Inequalities And Complementarity Problems


Finite Dimensional Variational Inequalities And Complementarity Problems
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Author : Francisco Facchinei
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-02-06

Finite Dimensional Variational Inequalities And Complementarity Problems written by Francisco Facchinei and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-06 with Mathematics categories.


This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.



Variational Inequalities And Network Equilibrium Problems


Variational Inequalities And Network Equilibrium Problems
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Author : F. Giannessi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Variational Inequalities And Network Equilibrium Problems written by F. Giannessi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Social Science categories.


This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.



Complementarity Problems


Complementarity Problems
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Author : George Isac
language : en
Publisher: Springer
Release Date : 2006-11-15

Complementarity Problems written by George Isac and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Science categories.


The study of complementarity problems is now an interesting mathematical subject with many applications in optimization, game theory, stochastic optimal control, engineering, economics etc. This subject has deep relations with important domains of fundamental mathematics such as fixed point theory, ordered spaces, nonlinear analysis, topological degree, the study of variational inequalities and also with mathematical modeling and numerical analysis. Researchers and graduate students interested in mathematical modeling or nonlinear analysis will find here interesting and fascinating results.



Quadratic Programming And Affine Variational Inequalities


Quadratic Programming And Affine Variational Inequalities
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Author : Gue Myung Lee
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Quadratic Programming And Affine Variational Inequalities written by Gue Myung Lee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.


Quadratic programs and affine variational inequalities represent two fundamental, closely-related classes of problems in the t,heories of mathematical programming and variational inequalities, resp- tively. This book develops a unified theory on qualitative aspects of nonconvex quadratic programming and affine variational inequ- ities. The first seven chapters introduce the reader step-by-step to the central issues concerning a quadratic program or an affine variational inequality, such as the solution existence, necessary and sufficient conditions for a point to belong to the solution set, and properties of the solution set. The subsequent two chapters discuss briefly two concrete nlodels (linear fractional vector optimization and the traffic equilibrium problem) whose analysis can benefit a lot from using the results on quadratic programs and affine variational inequalities. There are six chapters devoted to the study of conti- ity and/or differentiability properties of the characteristic maps and functions in quadratic programs and in affine variational inequa- ties where all the components of the problem data are subject to perturbation. Quadratic programs and affine variational inequa- ties under linear perturbations are studied in three other chapters. One special feature of the presentation is that when a certain pr- erty of a characteristic map or function is investigated, we always try first to establish necessary conditions for it to hold, then we go on to study whether the obtained necessary conditions are suf- cient ones. This helps to clarify the structures of the two classes of problems under consideration.



Leray Schauder Type Alternatives Complementarity Problems And Variational Inequalities


Leray Schauder Type Alternatives Complementarity Problems And Variational Inequalities
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Author : George Isac
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-18

Leray Schauder Type Alternatives Complementarity Problems And Variational Inequalities written by George Isac and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-18 with Mathematics categories.


This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics. The ideas and method presented in this book may be considered as a starting point for new developments. The book presents a new kind of application for the Leray–Schauder principle.



Uncertainty Quantification In Variational Inequalities


Uncertainty Quantification In Variational Inequalities
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Author : Joachim Gwinner
language : en
Publisher: CRC Press
Release Date : 2021-12-24

Uncertainty Quantification In Variational Inequalities written by Joachim Gwinner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-24 with Mathematics categories.


Uncertainty Quantification (UQ) is an emerging and extremely active research discipline which aims to quantitatively treat any uncertainty in applied models. The primary objective of Uncertainty Quantification in Variational Inequalities: Theory, Numerics, and Applications is to present a comprehensive treatment of UQ in variational inequalities and some of its generalizations emerging from various network, economic, and engineering models. Some of the developed techniques also apply to machine learning, neural networks, and related fields. Features First book on UQ in variational inequalities emerging from various network, economic, and engineering models Completely self-contained and lucid in style Aimed for a diverse audience including applied mathematicians, engineers, economists, and professionals from academia Includes the most recent developments on the subject which so far have only been available in the research literature