Vector Optimization and Monotone Operators via Convex Duality:Recent Advances

Vector Optimization and Monotone Operators via Convex Duality:Recent Advances

This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addr...

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Tác giả chính: Grad, Sorin-Mihai
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
Những chủ đề:
Vector analysis
Economics
Mathematical optimization
Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57620
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Thư viện lưu trữ: Thư viện Trường Đại học Đà Lạt
id oai:scholar.dlu.edu.vn:DLU123456789-57620
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spelling oai:scholar.dlu.edu.vn:DLU123456789-576202023-11-11T05:46:46Z Vector Optimization and Monotone Operators via Convex Duality:Recent Advances Grad, Sorin-Mihai Vector analysis Economics Mathematical optimization This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators. 2015-08-19T03:25:55Z 2015-08-19T03:25:55Z 2015 Book 978-3-319-08900-3 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57620 en application/pdf Springer
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Vector analysis
Economics
Mathematical optimization
spellingShingle Vector analysis
Economics
Mathematical optimization
Grad, Sorin-Mihai
Vector Optimization and Monotone Operators via Convex Duality:Recent Advances
description This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.
format Book
author Grad, Sorin-Mihai
author_facet Grad, Sorin-Mihai
author_sort Grad, Sorin-Mihai
title Vector Optimization and Monotone Operators via Convex Duality:Recent Advances
title_short Vector Optimization and Monotone Operators via Convex Duality:Recent Advances
title_full Vector Optimization and Monotone Operators via Convex Duality:Recent Advances
title_fullStr Vector Optimization and Monotone Operators via Convex Duality:Recent Advances
title_full_unstemmed Vector Optimization and Monotone Operators via Convex Duality:Recent Advances
title_sort vector optimization and monotone operators via convex duality:recent advances
publisher Springer
publishDate 2015
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57620
_version_ 1819780246036021248

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