Some results on extended b-metric spaces and Pompeiu-Hausdorff metric.

Ledia Subashi; Nertila Gjini

Ledia Subashi Department of Mathematics, University of Tirana, Albania
Nertila Gjini University of New York Tirana.

Keywords: Extended b- metric space; Pompeiu-Hausdorff metric; Complete Spaces

Abstract

In this paper we will show some new results about extended b- metric space. Given an extended b-metric space (X,d), we may define a new extended b- metric space with Pompeiu- Hausdorff metric H on the set H(X) of the collection of all nonempty compact subsets of X. We will show that if is a complete extended b- metric space then the Hausdorff extended b-metric space (H(X),H) is also complete.

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References

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https://www.math.wisc.edu/~seeger/522/c13.pdf