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Second Order Strict Converse Duality in Nonlinear Fractional Programming

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Optimization Methods and Applications

Part of the book series: Applied Optimization ((APOP,volume 52))

Abstract

In this paper, two types of second order dual problems are introduced for a nonlinear fractional programming problem involving equality and inequality constraints. Four theorems on second order strict converse duality are proved under some generalized second order (F, ρ)-convexity assumptions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chongqing Normal University, Chongqing, 400047, China

    Xin Min Yang

  2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong

    Kok Lay Teo & Xiaoqi Yang

Authors
  1. Xin Min Yang
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  2. Kok Lay Teo
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  3. Xiaoqi Yang
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China

    Xiaoqi Yang  & Kok Lay Teo  & 

  2. School of Mathematics and Statistics, Curtin University of Technology, Australia

    Lou Caccetta

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© 2001 Springer Science+Business Media Dordrecht

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Yang, X.M., Teo, K.L., Yang, X. (2001). Second Order Strict Converse Duality in Nonlinear Fractional Programming. In: Yang, X., Teo, K.L., Caccetta, L. (eds) Optimization Methods and Applications. Applied Optimization, vol 52. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3333-4_16

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  • DOI: https://doi.org/10.1007/978-1-4757-3333-4_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4850-2

  • Online ISBN: 978-1-4757-3333-4

  • eBook Packages: Springer Book Archive

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