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2021, vol. 25, br. 1, str. 63-69
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Measures of noncompactness on w-distance spaces
(naslov ne postoji na srpskom)
Projekat: Ministarstvo prosvete, nauke i tehnološkog razvoja Republike Srbije (institucija: Univerzitet u Nišu, Prirodno-matematički fakultet) (MPNTR - 451-03-68/2020-14/200124)
Sažetak
(ne postoji na srpskom)
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 Arandjelović in his PhD thesis [2].
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Reference
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