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Recent Developments in Vector Optimization

  • Book
  • © 2012

Overview

Editors:
  1. Qamrul Hasan Ansari

    1. Aligarh, India

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    You can also search for this editor in PubMed   Google Scholar

  2. Jen-Chih Yao

    1. , Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan R.O.C.

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Different topics / aspects of vector optimization theory ranging from the very beginning to the most recent one
  • Contains fourteen chapters written by different experts in the field of vector optimization
  • Most of the chapters are new and can not be found in any book in the area of this volume

Part of the book series: Vector Optimization (VECTOROPT, volume 1)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Vector Optimization Problems and Their Solution Concepts

    • Gabriele Eichfelder, Johannes Jahn
    Pages 1-27

  3. Gordan-Type Alternative Theorems and Vector Optimization Revisited

    • Fabián Flores-Bazán, Fernando Flores-Bazán, Cristián Vera
    Pages 29-59

  4. Duality in Vector Optimization with Infimum and Supremum

    • Andreas Löhne
    Pages 61-94

  5. Variable Ordering Structures in Vector Optimization

    • Gabriele Eichfelder
    Pages 95-126

  6. Strong KKT, Second Order Conditions and Non-solid Cones in Vector Optimization

    • Joydeep Dutta
    Pages 127-167

  7. Optimality Conditions and Image Space Analysis for Vector Optimization Problems

    • Giandomenico Mastroeni
    Pages 169-220

  8. Nonsmooth Invexities, Invariant Monotonicities and Nonsmooth Vector Variational-Like Inequalities with Applications to Vector Optimization

    • Suliman Al-Homidan, Qamrul Hasan Ansari, Jen-Chih Yao
    Pages 221-274

  9. Optimality Conditions for Approximate Solutions of Convex Semi-Infinite Vector Optimization Problems

    • Gue Myung Lee, Gwi Soo Kim, Nguyen Dinh
    Pages 275-295

  10. Linear Fractional and Convex Quadratic Vector Optimization Problems

    • Nguyen Dong Yen
    Pages 297-328

  11. Levitin–Polyak Type Well-Posedness in Constrained Optimization

    • Xue-Xiang Huang
    Pages 329-365

  12. Vector Variational Principles for Set-Valued Functions

    • Christiane Tammer, Constantin Zălinescu
    Pages 367-415

  13. The Fermat Rule and Lagrange Multiplier Rule for Various Efficient Solutions of Set-Valued Optimization Problems Expressed in Terms of Coderivatives

    • Truong Xuan Duc Ha
    Pages 417-466

  14. Extended Pareto Optimality in Multiobjective Problems

    • Truong Q. Bao, Boris S. Mordukhovich
    Pages 467-515

  15. Vector Optimization and Cooperative Games

    • Tetsuzo Tanino
    Pages 517-545

  16. Back Matter

    Pages 547-551
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Keywords

About this book

We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the conflict between various objectives and goals. In these problems, one has to find the minimum(or maximum) for several objective functions. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems. This volume deals with several different topics / aspects of vector optimization theory ranging from the very beginning to the most recent one. It contains fourteen chapters written by different experts in the field of vector optimization.

Editors and Affiliations

  • Aligarh, India

    Qamrul Hasan Ansari

  • , Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan R.O.C.

    Jen-Chih Yao

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