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Optimality conditions for nonsmooth semi-infinite multiobjective programming

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Abstract

This paper is devoted to the study of nonsmooth multiobjective semi-infinite programming problems in which the index set of the inequality constraints is an arbitrary set not necessarily finite. We introduce several kinds of constraint qualifications for these problems, and then necessary optimality conditions for weakly efficient solutions are investigated. Finally by imposing assumptions of generalized convexity we give sufficient conditions for efficient solutions.

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Acknowledgments

The first author was partially supported by the Payame Noor University (PNU). The second author was partially supported by the Center of Excellence for Mathematics, University of Shahrekord, Iran.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University (PNU), Tehran, Iran

    N. Kanzi

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

    S. Nobakhtian

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  1. N. Kanzi
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  2. S. Nobakhtian
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Correspondence to S. Nobakhtian.

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Kanzi, N., Nobakhtian, S. Optimality conditions for nonsmooth semi-infinite multiobjective programming. Optim Lett 8, 1517–1528 (2014). https://doi.org/10.1007/s11590-013-0683-9

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  • DOI: https://doi.org/10.1007/s11590-013-0683-9

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