Kuratowski measure of noncompactness as a distance
In the paper we introduce the concept of the Kuratowski distance between nonempty and bounded subsets of a Banach space. We show that the Kuratowski measure of noncompactness of a nonempty and bounded subset of a Banach space is equal to the Kuratowski distance of that subset to the family of all nonempty and relatively compact subsets of the mentioned Banach space.
Authors
- Józef Banaś (ORCID: https://orcid.org/0000-0002-2838-5569)
- Antonio Martinón (ORCID: https://orcid.org/0000-0003-4098-5484)
Institutions
- Rzeszów University of Technology (PL)
- Universidad de La Laguna (ES)
Publication Details
- Journal
- Nonlinear Analysis
- Published
- 2026-09-22
- DOI
- https://doi.org/10.1016/j.na.2026.114280
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00