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Optimization with Multivalued Mappings

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Release : 2006-09-19
Genre : Mathematics
Kind : eBook
Book Rating : 214/5 ( reviews)

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Book Synopsis Optimization with Multivalued Mappings by : Stephan Dempe

Download or read book Optimization with Multivalued Mappings written by Stephan Dempe. This book was released on 2006-09-19. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the tremendous development that has taken place recently in the field of of nondifferentiable nonconvex optimization. Coverage includes the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the co-derivative of Mordukhovich), the opening of new applications (the calibration of water supply systems), and the elaboration of new solution algorithms (e.g., smoothing methods).

Optimization with Multivalued Mappings

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Author :
Release : 1979
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Optimization with Multivalued Mappings by : Shōjirō Tagawa

Download or read book Optimization with Multivalued Mappings written by Shōjirō Tagawa. This book was released on 1979. Available in PDF, EPUB and Kindle. Book excerpt:

Multivalued Analysis and Nonlinear Programming Problems with Perturbations

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Author :
Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 689/5 ( reviews)

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Book Synopsis Multivalued Analysis and Nonlinear Programming Problems with Perturbations by : B. Luderer

Download or read book Multivalued Analysis and Nonlinear Programming Problems with Perturbations written by B. Luderer. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. In addition, applications to sensitivity analysis of nonlinear programming problems under perturbations are studied. Properties of marginal functions associated with optimization problems are analyzed under quite general constraints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. Nonlinear programming problems involving quasidifferentiable functions are considered as well. A significant part of the results are based on theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov, and have never been published in English before. It contains all the necessary information from multivalued analysis and does not require special knowledge, but assumes basic knowledge of calculus at an undergraduate level.

Multivalued Analysis and Nonlinear Programming Problems with Perturbations

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Release : 2012-12-05
Genre : Mathematics
Kind : eBook
Book Rating : 690/5 ( reviews)

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Book Synopsis Multivalued Analysis and Nonlinear Programming Problems with Perturbations by : Bernd Luderer

Download or read book Multivalued Analysis and Nonlinear Programming Problems with Perturbations written by Bernd Luderer. This book was released on 2012-12-05. Available in PDF, EPUB and Kindle. Book excerpt:

Continuous Optimization and Variational Inequalities

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Release : 2022-09-13
Genre : Technology & Engineering
Kind : eBook
Book Rating : 982/5 ( reviews)

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Book Synopsis Continuous Optimization and Variational Inequalities by : Anurag Jayswal

Download or read book Continuous Optimization and Variational Inequalities written by Anurag Jayswal. This book was released on 2022-09-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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