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The potential method for conditional maxima in the locally compact metric spaces

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Summary

In the paper there is presented a method of reducing the constrained maximization problem to an unconditional one. The method consists of introducing a function, called potential, which at an unconditional maximum converges to the constrained maximum when a positive parameter of the potential tends to zero. A proof of such convergence for the locally compact metric spaces is given.

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  1. Faculty of Mathematics Department of Applied Analysis and Computer Sciences, University of Waterloo, Waterloo, Ontario, Canada

    Tomasz Pietrzykowski

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  1. Tomasz Pietrzykowski
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Pietrzykowski, T. The potential method for conditional maxima in the locally compact metric spaces. Numer. Math. 14, 325–329 (1970). https://doi.org/10.1007/BF02165588

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  • DOI: https://doi.org/10.1007/BF02165588

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