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Generalized Convexity and Vector Optimization

  • Shashi Kant Mishra
  • Shou-Yang Wang
  • Kin Keung Lai

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 90)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Pages 1-5
  3. Pages 45-90
  4. Pages 91-164
  5. Pages 199-253
  6. Back Matter
    Pages 281-294

About this book

Introduction

The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.

Keywords

Duality Generalized Convexity Kuhn-Tucker Conditions Mond-Weir type Duality Multiobjective Programming Problems Vector optimization linear optimization multi-objective optimization nonlinear optimization optimization

Authors and affiliations

  • Shashi Kant Mishra
    • 1
  • Shou-Yang Wang
    • 2
  • Kin Keung Lai
    • 3
  1. 1.Department of MathematicsBanaras Hindu UniversityVaranasiIndia
  2. 2.Academy of Mathematics and Systems SciencesChinese Academy of SciencesBeijingPeople's Republic of China
  3. 3.Department of Management SciencesCity University of Hong KongKowloon TongHong Kong

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-85671-9
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-85670-2
  • Online ISBN 978-3-540-85671-9
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site