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Necessary optimality conditions for countably infinite Lipschitz problems with equality constraint mappings

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Abstract

The paper deals with with an optimization problem with a countably infinite system of Lipschitz equality constraints defined from an Asplund space to \(\mathbb {R}\). The main attention is paid to deriving new necessary optimality conditions in terms of stability conditions the constraint system. To do so, we reformulate the constraints to a generalized equation and we define a new weak constraint qualification based on the calmness property of multifunctions.

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Acknowledgments

The author would like to thank the Banach Algebra Center of Excellence for Mathematics, University of Isfahan.

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Authors and Affiliations

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

    Nooshin Movahedian

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  1. Nooshin Movahedian
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Correspondence to Nooshin Movahedian.

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Movahedian, N. Necessary optimality conditions for countably infinite Lipschitz problems with equality constraint mappings. Optim Lett 10, 63–76 (2016). https://doi.org/10.1007/s11590-015-0855-x

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  • DOI: https://doi.org/10.1007/s11590-015-0855-x

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