Contributions to the Theory of Variational Inequalities, Equilibrium and Optimization Problems Via Duality - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Contributions to the Theory of Variational Inequalities, Equilibrium and Optimization Problems Via Duality write by Liana Cioban. This book was released on 2012. Contributions to the Theory of Variational Inequalities, Equilibrium and Optimization Problems Via Duality available in PDF, EPUB and Kindle.
Variational Inequalities and Network Equilibrium Problems
Variational Inequalities and Network Equilibrium Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Inequalities and Network Equilibrium Problems write by F. Giannessi. This book was released on 2013-06-29. Variational Inequalities and Network Equilibrium Problems available in PDF, EPUB and Kindle. 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.
Duality in Optimization and Variational Inequalities
Duality in Optimization and Variational Inequalities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Duality in Optimization and Variational Inequalities write by C.j. Goh. This book was released on 2002-05-10. Duality in Optimization and Variational Inequalities available in PDF, EPUB and Kindle. This comprehensive volume covers a wide range of duality topics ranging from simple ideas in network flows to complex issues in non-convex optimization and multicriteria problems. In addition, it examines duality in the context of variational inequalities and vector variational inequalities, as generalizations to optimization. Duality in Optimization and Variational Inequalities is intended for researchers and practitioners of optimization with the aim of enhancing their understanding of duality. It provides a wider appreciation of optimality conditions in various scenarios and under different assumptions. It will enable the reader to use duality to devise more effective computational methods, and to aid more meaningful interpretation of optimization and variational inequality problems.
Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models
Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models write by F. Giannessi. This book was released on 2006-04-11. Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models available in PDF, EPUB and Kindle. The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.
Duality Principles in Nonconvex Systems
Duality Principles in Nonconvex Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Duality Principles in Nonconvex Systems write by David Yang Gao. This book was released on 2013-03-09. Duality Principles in Nonconvex Systems available in PDF, EPUB and Kindle. Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
