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Vector Optimization and Monotone Operators via Convex Duality

Recent Advances

  • Sorin-MihaiĀ Grad

Part of the Vector Optimization book series (VECTOROPT)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Sorin-Mihai Grad
    Pages 1-11
  3. Sorin-Mihai Grad
    Pages 13-38
  4. Sorin-Mihai Grad
    Pages 39-59
  5. Sorin-Mihai Grad
    Pages 115-175
  6. Sorin-Mihai Grad
    Pages 223-256
  7. Back Matter
    Pages 257-269

About this book

Introduction

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.

Keywords

Conjugacy Duality Monotone operators Representative functions Vector optimization

Authors and affiliations

  • Sorin-MihaiĀ Grad
    • 1
  1. 1.Faculty of MathematicsTU ChemnitzChemnitzGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08900-3
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Business and Economics
  • Print ISBN 978-3-319-08899-0
  • Online ISBN 978-3-319-08900-3
  • Series Print ISSN 1867-8971
  • Series Online ISSN 1867-898X
  • Buy this book on publisher's site
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