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A new approach to constrained optimization via image space analysis

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Abstract

In this article, by introducing a class of nonlinear separation functions, the image space analysis is employed to investigate a class of constrained optimization problems. Furthermore, the equivalence between the existence of nonlinear separation function and a saddle point condition for a generalized Lagrangian function associated with the given problem is proved.

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Acknowledgments

The authors are grateful to the referee for the comments and helpful suggestions, which have improved the presentation of this paper. The second author was partially supported by the Center of Excellence for Mathematics, University of Isfahan, Iran.

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Authors and Affiliations

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

    M. Chinaie

  2. Department of Mathematics, Sheikhbahaee University and University of Isfahan, Isfahan, Iran

    J. Zafarani

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  1. M. Chinaie
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  2. J. Zafarani
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Correspondence to M. Chinaie.

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Chinaie, M., Zafarani, J. A new approach to constrained optimization via image space analysis. Positivity 20, 99–114 (2016). https://doi.org/10.1007/s11117-015-0343-7

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  • DOI: https://doi.org/10.1007/s11117-015-0343-7

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