On measures of σ -noncompactess in F -spaces
Year: 2025
Type: article
Abstract: Given an F -space ( X, τ ) and σ ≤ τ a linear topology on X , this paper provides the definition of a general set function that allows us to define measures of σ -noncompactness in X . In particular, we construct measures of nonconvex σ -noncompactness that are monotonic, invariant under passage to the closed convex hull, and satisfy the Cantor intersection property. Additionally, we derive a fixed point theorem for maps that satisfy the classical Darbo condition with respect to a given measure of nonconvex σ -noncompactness.
Source: Mathematica Slovaca
DOI: 10.1515/ms-2025-0107
Institutions: University of Palermo, University of Calabria
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417276723