Topological Properties of F-Hausdorff Metric
Journal Title: International Journal of Applied Mathematics & Statistical Sciences - Year 2018, Vol 7, Issue 5
Abstract
Consider a − metric space (ℳ, ), we define a general metric space with general Hausdorff metric on the setК of the class of all non-empty compact subsets of ℳ.We show that if (ℳ, )is complete, then the Hausdorff metric space (К, ) is also complete − metric space. Similarly, the compactness. Illustrative example by using Mat lab is presented for a Cuachy sequence in (К, ) also converges to the element in(К, ). MSC2010: 28 Axx and 37 Fxx
Authors and Affiliations
Salwa Salman Abed, Anaam Neamah Faraj
Keywords
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