Vector Optimization and Monotone Operators via Convex Duality: Recent Advances - Softcover

Book 5 of 8: Vector Optimization

Grad, Sorin-Mihai

 
9783319361901: Vector Optimization and Monotone Operators via Convex Duality: Recent Advances

Synopsis

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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About the Author

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).

From the 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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783319088990: Vector Optimization and Monotone Operators via Convex Duality: Recent Advances

Featured Edition

ISBN 10:  3319088998 ISBN 13:  9783319088990
Publisher: Springer, 2014
Hardcover