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Invexity and Optimization

  • Shashi Kant Mishra
  • Giorgio Giorgi

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 88)

About this book

Introduction

Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.

Keywords

Duality Generalized Convexity Generalized Monotonicity Invex Functions Nonlinear Mathematical Programming Optimality Optimality Conditions Vector Optimization linear optimization nonlinear optimization optimization

Authors and affiliations

  • Shashi Kant Mishra
    • 1
  • Giorgio Giorgi
    • 2
  1. 1.Department of Mathematics Faculty of ScienceBanaras Hindu UniversityVaranasiIndia
  2. 2.Sez. Matematica GeneraleUniversita Pavia Dipto. Ricerche AziendaliPaviaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78562-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78561-3
  • Online ISBN 978-3-540-78562-0
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site
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