Description: Vector Optimization and Monotone Operators via Convex Duality by Sorin-Mihai Grad 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher 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. Back Cover 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. Author Biography Sorin-Mihai Grad is currently working within the Faculty of Mathematics of Chemnitz University of Technology, Germany, where he achieved his PhD in 2006 and his Habilitation in 2014. He is co-author of the book "Duality in Vector Optimization" (Springer, 2009). Table of Contents Introduction and preliminaries.- Duality for scalar optimization problems.- Minimality concepts for sets.- Vector duality via scalarization for vector optimization problems.- General Wolfe and Mond-Weir duality.- Vector duality for linear and semidefinite vector optimization problems.- Monotone operators approached via convex Analysis. Feature Presents the first approach to the maximal monotonicity of the diagonal operators by means of representative functions Introduces a framework for vector duality via general scalarizations Investigates the structure of the closedness-type regularity conditions in scalar optimization, showing how one can derive them Details ISBN3319088998 Series Vector Optimization Year 2014 ISBN-10 3319088998 ISBN-13 9783319088990 Format Hardcover Short Title VECTOR OPTIMIZATION & MONOTONE Language English Media Book DEWEY 519.6 Imprint Springer International Publishing AG Subtitle Recent Advances Place of Publication Cham Country of Publication Switzerland Edition 2015th Illustrations XVII, 269 p. Pages 269 DOI 10.1007/978-3-319-08900-3 Author Sorin-Mihai Grad Publisher Springer International Publishing AG Edition Description 2015 ed. Publication Date 2014-09-17 Alternative 9783319361901 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96247740;
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ISBN-13: 9783319088990
Book Title: Vector Optimization and Monotone Operators via Convex Duality
Number of Pages: 269 Pages
Language: English
Publication Name: Vector Optimization and Monotone Operators Via Convex Duality: Recent Advances
Publisher: Springer International Publishing Ag
Publication Year: 2014
Subject: Mathematics, Management
Item Height: 235 mm
Item Weight: 5561 g
Type: Textbook
Author: Sorin-Mihai Grad
Subject Area: Data Analysis
Item Width: 155 mm
Format: Hardcover