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Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions

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Abstract

A nonsmooth multiobjective optimization problem involving generalized (F, α, ρ, d)-type I function is considered. Karush–Kuhn–Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality results are obtained for mixed type dual under the aforesaid assumptions.

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Author notes

  1. S. K. Mishra

    Present address: Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, G. B. Pant University of Agriculture and Technology, Pantnagar, 263 145, India

    S. K. Mishra

  2. Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

    K. K. Lai

  3. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    S. Y. Wang

Authors
  1. S. K. Mishra
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  2. S. Y. Wang
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  3. K. K. Lai
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Correspondence to S. Y. Wang.

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Mishra, S.K., Wang, S.Y. & Lai, K.K. Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions. Math Meth Oper Res 67, 493–504 (2008). https://doi.org/10.1007/s00186-007-0202-9

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  • DOI: https://doi.org/10.1007/s00186-007-0202-9

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