Measures of noncompactness on $w$-distance spaces
Mathematica Moravica, Tome 25 (2021) no. 1.

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The aim of this paper is to provide a new framework for the study of measures of noncompactness in generalized metric spaces. Firstly, we introduce the notion of $w$-measure of noncompactness on metric spaces with a $w$-distance and extend the diameter and Kuratowski functionals to this setting. At the end we give a characterization of metric completeness via our main results, providing a new answer to the open question mentioned by Arandjelovic in his PhD thesis [2].
Mots-clés : Measures of noncompactness, metric spaces, $w$-distance. 
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     title = {Measures of noncompactness on $w$-distance spaces},
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Aleksandar Kostić. Measures of noncompactness on $w$-distance spaces. Mathematica Moravica, Tome 25 (2021) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2021_25_1_a4/