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Conditions for an Extremum in Metric Spaces

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Abstract

General necessary and sufficient conditions of the k-th order (where k >0) for an extremum of an arbitrary function defined on an arbitrary metric space are stated. Examples illustrating the theory are described.

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References

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Authors and Affiliations

  1. Applied Mathematics Department, St . Petersburg State University, St . Petersburg, Russia

    V.F. Demyanov

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  1. V.F. Demyanov
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Demyanov, V. Conditions for an Extremum in Metric Spaces. Journal of Global Optimization 17, 55–63 (2000). https://doi.org/10.1023/A:1026599021286

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  • DOI: https://doi.org/10.1023/A:1026599021286

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