Generalized Preinvexity and Second Order Duality in Multiobjective Programming

  • Xinmin Yang

Part of the Springer Optimization and Its Applications book series (SOIA, volume 142)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Generalized Preinvexity

    1. Front Matter
      Pages 1-1
    2. Xinmin Yang
      Pages 3-20
    3. Xinmin Yang
      Pages 21-41
    4. Xinmin Yang
      Pages 43-52
    5. Xinmin Yang
      Pages 53-74
  3. Generalized Invariant Monotonicity

    1. Front Matter
      Pages 75-75
  4. Duality in Multiobjective Programming

  5. Back Matter
    Pages 159-167

About this book


This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among preinvex functions and the properly inclusive relations among the generalized invariant monotonicities. In addition, several second order and higher order symmetric duality models are provided for multi-objective nonlinear programming problems. Lastly, weak and strong duality theorems under generalized convexity assumptions are provided.

The book offers a well-synthesized, accessible, and usable treatment for students, researchers and practitioners in the areas of OR, optimization, applied mathematics and engineering, and all those working on a wide range of related problems, which include financial institutions, logistics, transportation, traffic management, etc.


Preinvex multiobjective optimization Second and higher order duality invariant monotone maps fractional programming Mond-Weir type semipreinvex function prequasiinvex function

Authors and affiliations

  • Xinmin Yang
    • 1
  1. 1.College of Mathematics ScienceChongqing Normal UniversityChongqingChina

Bibliographic information

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