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Optimality Criteria and Duality in Multiobjective Programming Involving Nonsmooth Invex Functions

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Abstract

In this paper a generalization of invexity is considered in a general form, by means of the concept of K-directional derivative. Then in the case of nonlinear multiobjective programming problems where the functions involved are nondifferentiable, we established sufficient optimality conditions without any convexity assumption of the K-directional derivative. Then we obtained some duality results.

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Authors and Affiliations

  1. Department of Mathematics, University of Isfahan, P. O. Box 81745-163, Isfahan, Iran

    S. Nobakhtian

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  1. S. Nobakhtian
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Nobakhtian, S. Optimality Criteria and Duality in Multiobjective Programming Involving Nonsmooth Invex Functions. J Glob Optim 35, 593–606 (2006). https://doi.org/10.1007/s10898-005-5320-4

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  • DOI: https://doi.org/10.1007/s10898-005-5320-4

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