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.
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.
Continuous Optimization and Variational Inequalities
Continuous 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 Continuous Optimization and Variational Inequalities write by Anurag Jayswal. This book was released on 2022-09-13. Continuous Optimization and Variational Inequalities available in PDF, EPUB and Kindle. The proposed book provides a comprehensive coverage of theory and methods in the areas of continuous optimization and variational inequality. It describes theory and solution methods for optimization with smooth and non-smooth functions, for variational inequalities with single-valued and multivalued mappings, and for related classes such as mixed variational inequalities, complementarity problems, and general equilibrium problems. The emphasis is made on revealing generic properties of these problems that allow creation of efficient solution methods. Salient Features The book presents a deep, wide-ranging introduction to the theory of the optimal control of processes governed by optimization techniques and variational inequality Several solution methods are provided which will help the reader to develop various optimization tools for real-life problems which can be modeled by optimization techniques involving linear and nonlinear functions. The book focuses on most recent contributions in the nonlinear phenomena, which can appear in various areas of human activities. This book also presents relevant mathematics clearly and simply to help solve real life problems in diverse fields such as mechanical engineering, management, control behavior, traffic signal, industry, etc. This book is aimed primarily at advanced undergraduates and graduate students pursuing computer engineering and electrical engineering courses. Researchers, academicians and industry people will also find this book useful.
Asymptotic Cones and Functions in Optimization and Variational Inequalities
Asymptotic Cones and Functions 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 Asymptotic Cones and Functions in Optimization and Variational Inequalities write by Alfred Auslender. This book was released on 2006-05-07. Asymptotic Cones and Functions in Optimization and Variational Inequalities available in PDF, EPUB and Kindle. 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.
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.
