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Optimality criteria and duality in multiple-objective optimization involving generalized invexity

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Abstract

A multiple-objective optimization problem involving generalized invex functions is considered. Kuhn-Tucker type necessary and sufficient conditions are obtained for a feasible point to be an efficient or properly efficient solution. Two dual programs are obtained. The results are given under weaker invexity assumptions.

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Authors and Affiliations

  1. University of Delhi, Delhi, India

    R. N. Kaul (Professor of Mathematics)

  2. Miranda House, University of Delhi, Delhi, India

    S. K. Suneja (Lecturer of Mathematics) & M. K. Srivastava (Lecturer of Mathematics)

Authors
  1. R. N. Kaul
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  2. S. K. Suneja
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  3. M. K. Srivastava
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Communicated by R. A. Tapia

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Kaul, R.N., Suneja, S.K. & Srivastava, M.K. Optimality criteria and duality in multiple-objective optimization involving generalized invexity. J Optim Theory Appl 80, 465–482 (1994). https://doi.org/10.1007/BF02207775

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  • DOI: https://doi.org/10.1007/BF02207775

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