Topological Properties of F-Hausdorff Metric

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, ).