On The Construction Of Gap Functions For Variational Inequalities Via Conjugate Duality
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On The Construction Of Gap Functions For Variational Inequalities Via Conjugate Duality
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Author : Altangerel Lkhamsuren
language : en
Publisher:
Release Date : 2005
On The Construction Of Gap Functions For Variational Inequalities Via Conjugate Duality written by Altangerel Lkhamsuren and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
A Duality Approach To Gap Functions For Variational Inequalities And Equilibrium Problems
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Author :
language : en
Publisher:
Release Date : 2006
A Duality Approach To Gap Functions For Variational Inequalities And Equilibrium Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
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.
On A Smooth Dual Gap Function For A Class Of Quasi Variational Inequalities
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Author : Nadja Harms
language : en
Publisher:
Release Date : 2013
On A Smooth Dual Gap Function For A Class Of Quasi Variational Inequalities written by Nadja Harms and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
A Generalized Gap Function For Variational Inequalities
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Author : Torbjörn Larsson
language : en
Publisher:
Release Date : 1991
A Generalized Gap Function For Variational Inequalities written by Torbjörn Larsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Farkas Type Results For Inequality Systems With Composed Convex Functions Via Conjugate Duality
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Author : Radu Ioan Boţ
language : en
Publisher:
Release Date : 2005
Farkas Type Results For Inequality Systems With Composed Convex Functions Via Conjugate Duality written by Radu Ioan Boţ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Duality In Vector Optimization
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Author : Radu Ioan Bot
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-12
Duality In Vector Optimization written by Radu Ioan Bot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-12 with Mathematics categories.
This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.
Optimization Simulation And Control
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Author : Altannar Chinchuluun
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-28
Optimization Simulation And Control written by Altannar Chinchuluun and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-28 with Mathematics categories.
Optimization, simulation and control play an increasingly important role in science and industry. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. This volume brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. The book is composed of invited contributions by experts from around the world who work to develop and apply new optimization, simulation and control techniques either at a theoretical level or in practice. Some key topics presented include: equilibrium problems, multi-objective optimization, variational inequalities, stochastic processes, numerical analysis, optimization in signal processing, and various other interdisciplinary applications. This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization, simulation and control can be applied.
Journal Of Nonlinear And Convex Analysis
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Author :
language : en
Publisher:
Release Date : 2007
Journal Of Nonlinear And Convex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Convex domains categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Conjugate Duality And Optimization
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Author : R. Tyrrell Rockafellar
language : en
Publisher: SIAM
Release Date : 1974-01-01
Conjugate Duality And Optimization written by R. Tyrrell Rockafellar and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Technology & Engineering categories.
Provides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. An emphasis is placed on the fundamental importance of the concepts of Lagrangian function, saddle-point, and saddle-value. General examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of variations, and optimal control.