Approximation of capacities on metric spaces with Lipschitz capacities


  • I.D. Hlushak Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine


Hausdorff distance, capacity regular with respect to metric, Lipschitz capacity
Published online: 2014-12-25


For arbitrary capacity on a space with a bounded metric, existence proved and explicit formulae obtained for closest capacities that are Lipschitz continuous with a given Lipschitz constant.

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How to Cite
Hlushak, I. Approximation of Capacities on Metric Spaces With Lipschitz Capacities. Carpathian Math. Publ. 2014, 6, 196-202.