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Asymptotic Cones and Functions in Optimization and Variational Inequalities

2006-05-07 Mathematics
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Release : 2006-05-07
Genre : Mathematics
Kind : eBook
Book Rating : 900/5 ( reviews)

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Book Synopsis Asymptotic Cones and Functions in Optimization and Variational Inequalities by : Alfred Auslender

Download or read book Asymptotic Cones and Functions in Optimization and Variational Inequalities written by Alfred Auslender. This book was released on 2006-05-07. Available in PDF, EPUB and Kindle. Book excerpt: This systematic and comprehensive account of asymptotic sets and functions develops a broad and useful theory in the areas of optimization and variational inequalities. The central focus is on problems of handling unbounded situations, using solutions of a given problem in these classes, when for example standard compacity hypothesis is not present. This book will interest advanced graduate students, researchers, and practitioners of optimization theory, nonlinear programming, and applied mathematics.

Finite-Dimensional Variational Inequalities and Complementarity Problems

2007-06-04 Business & Economics
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Release : 2007-06-04
Genre : Business & Economics
Kind : eBook
Book Rating : 157/5 ( reviews)

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Book Synopsis Finite-Dimensional Variational Inequalities and Complementarity Problems by : Francisco Facchinei

Download or read book Finite-Dimensional Variational Inequalities and Complementarity Problems written by Francisco Facchinei. This book was released on 2007-06-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fixed Point Theory, Variational Analysis, and Optimization

2014-06-03 Business & Economics
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Release : 2014-06-03
Genre : Business & Economics
Kind : eBook
Book Rating : 086/5 ( reviews)

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Book Synopsis Fixed Point Theory, Variational Analysis, and Optimization by : Saleh Abdullah R. Al-Mezel

Download or read book Fixed Point Theory, Variational Analysis, and Optimization written by Saleh Abdullah R. Al-Mezel. This book was released on 2014-06-03. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis-fixed point theory, variational inequalities, and vector optimization-but also explains the connections between them, enabling the study of a general form of variational inequality problems related to the optimality conditions invol

Quadratic Programming and Affine Variational Inequalities

2006-03-30 Mathematics
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Release : 2006-03-30
Genre : Mathematics
Kind : eBook
Book Rating : 783/5 ( reviews)

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Book Synopsis Quadratic Programming and Affine Variational Inequalities by : Gue Myung Lee

Download or read book Quadratic Programming and Affine Variational Inequalities written by Gue Myung Lee. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Variational Analysis and Applications

2007-03-06 Mathematics
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Release : 2007-03-06
Genre : Mathematics
Kind : eBook
Book Rating : 767/5 ( reviews)

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Book Synopsis Variational Analysis and Applications by : Franco Giannessi

Download or read book Variational Analysis and Applications written by Franco Giannessi. This book was released on 2007-03-06. Available in PDF, EPUB and Kindle. Book excerpt: This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.

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