ENGLISH

Vector Optimization and Monotone Operators via Convex Duality: Recent Advances

By Sorin-Mihai Grad

Book information

Publisher
Springer
Year
2015
ISBN
3319088998, 978-3-319-08899-0, 978-3-319-08900-3
Language
english
Format
PDF
Filesize
1 MB (1567546 bytes)
Pages
282\282
Library
kolxoz
Time added
2015-12-12 14:00:00

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

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