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Conditions for an Extremum in Metric Spaces |
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| Authors: | V.F. Demyanov |
| Affiliation: | (1) Applied Mathematics Department, St . Petersburg State University, St . Petersburg, Russia |
| 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. |
| Keywords: | Metric space Local (global) minimum and maximum k-th order necessary optimality condition k-th order sufficient condition k-th order rate of steepest descent and ascent |
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