Vector optimization and monotone operators via convex duality [electronic resource] : recent advances / Sorin-Mihai Grad.

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Vector optimization and monotone operators via convex duality [electronic resource] : recent advances / Sorin-Mihai Grad.

9783319089003 electronic book
3319089005 electronic book
9783319088990
3319088998

Cham : Springer, [2015]

©2015

English

1 online resource.

10.1007/978-3-319-08900-3 doi

QA402.5

519.6

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.

Includes bibliographical references and index.

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Description based on print version record.

Vector optimization.

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