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Vector Invex N-set Functions and Minmax Programming

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Generalized Convexity and Generalized Monotonicity

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 502))

Abstract

Vector invexity and generalized vector invexity for n-set functions is introduced which is then utilized to establish sufficient optimality and duality results for a class of minmax programming problems involving n-set functions. Applications of these results to fractional programming problems are also presented.

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Author information

Authors and Affiliations

  1. Department of Operational Research, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India

    Davinder Bhatia

  2. Department of Mathematics, Gargi College, Khel Gaon Marg, New Delhi, 110 049, India

    Promila Kumar

Authors
  1. Davinder Bhatia
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  2. Promila Kumar
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of the Aegean, 83200, Karlovassi/Samos, Greece

    Nicolas Hadjisavvas

  2. CODE and Department of Economics, Universitat Autonoma de Barcelona, 08193, Bellaterra, Spain

    Juan Enrique Martínez-Legaz

  3. Department of Mathematics Faculty of Sciences, Université de Pau, 64000, Pau, France

    Jean-Paul Penot

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© 2001 Springer-Verlag Berlin Heidelberg

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Bhatia, D., Kumar, P. (2001). Vector Invex N-set Functions and Minmax Programming. In: Hadjisavvas, N., Martínez-Legaz, J.E., Penot, JP. (eds) Generalized Convexity and Generalized Monotonicity. Lecture Notes in Economics and Mathematical Systems, vol 502. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56645-5_7

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  • DOI: https://doi.org/10.1007/978-3-642-56645-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41806-1

  • Online ISBN: 978-3-642-56645-5

  • eBook Packages: Springer Book Archive

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