Happy Holidays! Over 120,000 eBooks at just 19.99 each— Pick a favorite today

Vector Optimization

Vector Optimization and Monotone Operators via Convex Duality

Recent Advances

Authors: Grad, Sorin-Mihai

  • 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
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08900-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-08899-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-36190-1
  • Free shipping for individuals worldwide
About this book

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 the authors

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 (7 chapters)

  • Introduction and Preliminaries

    Grad, Sorin-Mihai

    Pages 1-11

  • Duality for Scalar Optimization Problems

    Grad, Sorin-Mihai

    Pages 13-38

  • Minimality Concepts for Sets

    Grad, Sorin-Mihai

    Pages 39-59

  • Vector Duality via Scalarization for Vector Optimization Problems

    Grad, Sorin-Mihai

    Pages 61-113

  • General Wolfe and Mond-Weir Duality

    Grad, Sorin-Mihai

    Pages 115-175

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08900-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-08899-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-36190-1
  • Free shipping for individuals worldwide
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Vector Optimization and Monotone Operators via Convex Duality
Book Subtitle
Recent Advances
Authors
Series Title
Vector Optimization
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-08900-3
DOI
10.1007/978-3-319-08900-3
Hardcover ISBN
978-3-319-08899-0
Softcover ISBN
978-3-319-36190-1
Series ISSN
1867-8971
Edition Number
1
Number of Pages
XVII, 269
Topics