Qamrul Hasan Ansari; Elisabeth K?bis; Jen-Chih Yao Vector Variational Inequalities and Vector Optimization 9783319874623

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Автор: Qamrul Hasan Ansari; Elisabeth K?bis; Jen-Chih Yao
Название: Vector Variational Inequalities and Vector Optimization
ISBN: 9783319874623
Издательство: Springer
Классификация:

Всеобщая и мировая история

Исследование операций

Основы высшей математики и математический анализ

Вариационное исчисление

Оптимизация

ISBN-10: 3319874624
Обложка/Формат: Soft cover
Страницы: 509
Вес: 0.80 кг.
Дата издания: 2018
Серия: Vector Optimization
Язык: English
Издание: Softcover reprint of
Иллюстрации: 1 illustrations, color; 59 illustrations, black and white; xiii, 509 p. 60 illus., 1 illus. in color.
Размер: Book (Paperback Initiative)
Читательская аудитория: Professional & vocational
Основная тема: Business and Management
Подзаголовок: Theory and Applications
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.
Дополнительное описание: Preliminaries.- Analysis over Cones.- Solution Concepts in Vector Optimization.- Classical Methods in Vector Optimization.- Vector Variational Inequalities.- Linear Scalarization of Vector Variational Inequalities.- Nonsmooth Vector Variational Inequaliti

Vector Variational Inequalities and Vector Optimization, Qamrul Hasan Ansari; Elisabeth K?bis; Jen-Chih Yao