A Duality Approach to Gap Functions for Variational Inequalities and 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 A Duality Approach to Gap Functions for Variational Inequalities and Equilibrium Problems write by Altangerel Lkhamsuren. This book was released on 2006. A Duality Approach to Gap Functions for Variational Inequalities and Equilibrium Problems available in PDF, EPUB and Kindle.
A Duality Approach to Gap Functions for Variational Inequalities and Equilibrium Problems
A Duality Approach to Gap Functions for Variational Inequalities and 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 A Duality Approach to Gap Functions for Variational Inequalities and Equilibrium Problems write by . This book was released on 2006. A Duality Approach to Gap Functions for Variational Inequalities and Equilibrium Problems available in PDF, EPUB and Kindle. This work aims to investigate some applications of the conjugate duality for scalar and vector optimization problems to the construction of gap functions for variational inequalities and equilibrium problems. The basic idea of the approach is to reformulate variational inequalities and equilibrium problems into optimization problems depending on a fixed variable, which allows us to apply duality results from optimization problems. Based on some perturbations, first we consider the conjugate duality for scalar optimization. As applications, duality investigations for the convex partially separable optimization problem are discussed. Afterwards, we concentrate our attention on some applications of conjugate duality for convex optimization problems in finite and infinite-dimensional spaces to the construction of a gap function for variational inequalities and equilibrium problems. To verify the properties in the definition of a gap function weak and strong duality are used. The remainder of this thesis deals with the extension of this approach to vector variational inequalities and vector equilibrium problems. By using the perturbation functions in analogy to the scalar case, different dual problems for vector optimization and duality assertions for these problems are derived. This study allows us to propose some set-valued gap functions for the vector variational inequality. Finally, by applying the Fenchel duality on the basis of weak orderings, some variational principles for vector equilibrium problems are investigated.
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.
Contributions to the Theory of Variational Inequalities, Equilibrium and Optimization Problems Via Duality
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.
