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Vector Optimization and Monotone Operators via Convex Duality Recent Advances

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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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Publisher

: Springer Cham., 2015

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Language

English

ISBN/ISSN

978-3-319-08900-3

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NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

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Subject(s)

Optimization
Continuous Optimization
Operations Research/Decision Theory

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Statement of Responsibility

Sorin-Mihai Grad

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Yudi

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