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An Introduction to Variational Inequalities and Their Applications

2000-01-01 Mathematics
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Release : 2000-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 664/5 ( reviews)

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Book Synopsis An Introduction to Variational Inequalities and Their Applications by : David Kinderlehrer

Download or read book An Introduction to Variational Inequalities and Their Applications written by David Kinderlehrer. This book was released on 2000-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Unabridged republication is a resource for topics in elliptic equations and systems and free boundary problems.

Applications of Variational Inequalities in Stochastic Control

2011-08-18 Mathematics
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Release : 2011-08-18
Genre : Mathematics
Kind : eBook
Book Rating : 335/5 ( reviews)

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Book Synopsis Applications of Variational Inequalities in Stochastic Control by : A. Bensoussan

Download or read book Applications of Variational Inequalities in Stochastic Control written by A. Bensoussan. This book was released on 2011-08-18. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Variational Inequalities in Stochastic Control

Variational and Quasi-Variational Inequalities in Mechanics

2007-09-04 Technology & Engineering
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Release : 2007-09-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 776/5 ( reviews)

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Book Synopsis Variational and Quasi-Variational Inequalities in Mechanics by : Alexander S. Kravchuk

Download or read book Variational and Quasi-Variational Inequalities in Mechanics written by Alexander S. Kravchuk. This book was released on 2007-09-04. Available in PDF, EPUB and Kindle. Book excerpt: The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.

Vector Variational Inequalities and Vector Optimization

2017-10-31 Business & Economics
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Release : 2017-10-31
Genre : Business & Economics
Kind : eBook
Book Rating : 490/5 ( reviews)

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Book Synopsis Vector Variational Inequalities and Vector Optimization by : Qamrul Hasan Ansari

Download or read book Vector Variational Inequalities and Vector Optimization written by Qamrul Hasan Ansari. This book was released on 2017-10-31. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.

Projected Dynamical Systems and Variational Inequalities with Applications

2012-12-06 Business & Economics
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Release : 2012-12-06
Genre : Business & Economics
Kind : eBook
Book Rating : 01X/5 ( reviews)

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Book Synopsis Projected Dynamical Systems and Variational Inequalities with Applications by : Anna Nagurney

Download or read book Projected Dynamical Systems and Variational Inequalities with Applications written by Anna Nagurney. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Equilibrium is a concept used in operations research and economics to understand the interplay of factors and problems arising from competitive systems in the economic world. The problems in this area are large and complex and have involved a variety of mathematical methodologies. In this monograph, the authors have widened the scope of theoretical work with a new approach, `projected dynamical systems theory', to previous work in variational inequality theory. While most classical work in this area is static, the introduction to the theory of projected dynamical systems will allow many real-life dynamic situations and problems to be handled and modeled. This monograph includes: a new theoretical approach, `projected dynamical system', which allows the researcher to model real-life situations more accurately; new mathematical methods allowing researchers to combine other theoretical approaches with the projected dynamical systems approach; a framework in which research can adequately model natural, financial and human (real life) situations in competitive equilibrium problems; the computational and numerical methods for the implementation of the methods and theory discussed in the book; stability analysis, algorithms and computational procedures are offered for each set of applications.

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