Variational Inequalities And Complementarity Problems
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Author | : Francisco Facchinei |
Publisher | : Springer Science & Business Media |
Total Pages | : 724 |
Release | : 2007-06-14 |
Genre | : Mathematics |
ISBN | : 0387218149 |
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.
Author | : Francisco Facchinei |
Publisher | : Springer |
Total Pages | : 704 |
Release | : 2013-04-16 |
Genre | : Business & Economics |
ISBN | : 9781475780918 |
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.
Author | : Francisco Facchinei |
Publisher | : Springer Science & Business Media |
Total Pages | : 724 |
Release | : 2003-02-06 |
Genre | : Mathematics |
ISBN | : 0387955801 |
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.
Author | : Michael C. Ferris |
Publisher | : SIAM |
Total Pages | : 494 |
Release | : 1997-01-01 |
Genre | : Mathematics |
ISBN | : 9780898713916 |
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.
Author | : Richard W. Cottle |
Publisher | : |
Total Pages | : 426 |
Release | : 1979 |
Genre | : Calculus of variations |
ISBN | : 9780608174310 |
Author | : Richard Cottle |
Publisher | : John Wiley & Sons |
Total Pages | : 440 |
Release | : 1980 |
Genre | : Calculus of variations |
ISBN | : |
Author | : F. Giannessi |
Publisher | : Springer Science & Business Media |
Total Pages | : 304 |
Release | : 2013-06-29 |
Genre | : Social Science |
ISBN | : 1489913580 |
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.
Author | : Igor Konnov |
Publisher | : Springer Science & Business Media |
Total Pages | : 190 |
Release | : 2012-12-06 |
Genre | : Business & Economics |
ISBN | : 3642568866 |
Variational inequalities proved to be a very useful and powerful tool for in vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob lems and traffic network equilibrium problems. Besides, they are closely re lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures.
Author | : F. Giannessi |
Publisher | : Springer Science & Business Media |
Total Pages | : 522 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461302994 |
The book deals with the mathematical theory of vector variational inequalities with special reference to equilibrium problems. Such models have been introduced recently to study new problems from mechanics, structural engineering, networks, and industrial management, and to revisit old ones. The common feature of these problems is that given by the presence of concurrent objectives and by the difficulty of identifying a global functional (like energy) to be extremized. The vector variational inequalities have the advantage of both the variational ones and vector optimization which are found as special cases. Among several applications, the equilibrium flows on a network receive special attention. Audience: The book is addressed to academic researchers as well as industrial ones, in the fields of mathematics, engineering, mathematical programming, control theory, operations research, computer science, and economics.
Author | : Houyuan Jiang |
Publisher | : |
Total Pages | : 290 |
Release | : 1996 |
Genre | : Mathematical optimization |
ISBN | : |