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Nonsmooth multiobjective continuous-time problems with generalized invexity

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Abstract

A nonsmooth multiobjective continuous-time problem is considered. The definition of invexity and its generalizations for continuous-time functions are extended. Then, optimality conditions under generalized invexity assumptions are established. Subsequently, these optimality conditions are utilized as a basis for formulating dual problems. Duality results are also obtained for Wolfe as well as Mond-Weir type dual, using generalized invexity on the functions involved.

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Authors and Affiliations

  1. Department of Mathematics, University of Isfahan, Isfahan, Iran

    S. Nobakhtian

  2. School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran

    S. Nobakhtian

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  1. S. Nobakhtian
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Correspondence to S. Nobakhtian.

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Nobakhtian, S. Nonsmooth multiobjective continuous-time problems with generalized invexity. J Glob Optim 43, 593–606 (2009). https://doi.org/10.1007/s10898-008-9344-4

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  • DOI: https://doi.org/10.1007/s10898-008-9344-4

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