Turkish Journal of Mathematics
Author ORCID Identifier
GONZALO GARCIA: 0000-0001-6840-3226
Abstract
The so called degree of nondensifiability, DND, has been studied in Banach spaces through several studies, and some fixed point results using the DND have been proved. In the present paper, we extend the concept of DND to a Hausdorff locally convex topological vector space (LCTVS). Its main properties, as well as the differences between the DND in Banach spaces and the DND in a LCTVS, are analyzed. Furthermore, under suitable conditions, we provide some fixed point results in a LCTVS by using the DND, and as an application, we prove the existence of solutions of certain Volterra integral equations.
DOI
10.55730/1300-0098.3644
Keywords
Locally convex topological vector spaces, degree of nondensifiability, compactness in LCTVS, fixed point, Volterra integral equations
First Page
173
Last Page
191
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
GARCIA, G (2026). The degree of nondensifiability in Hausdorff locally convex topological vector spaces and applications. Turkish Journal of Mathematics 50 (2): 173-191. https://doi.org/10.55730/1300-0098.3644
