10 papers
A New Class of Locally Convex Spaces with application
Sokol Bush Kaliaj
In this paper we define the Radon-Nikodym class (RN class) of locally convex topological vector spaces. The RN class is characterized in terms of the Radon-Nikodym theorem for vect…
Multifunctions admitting a measurable by seminorm selector in Frechet spaces
Sokol Bush Kaliaj
In this paper we present full characterizations of multifunctions admitting a measurable by seminorm selector in Frechet spaces.
An integral Suzuki-type fixed point theorem with application
Sokol Bush Kaliaj
In this paper, we present an integral Suzuki-type fixed point theorem for multivalued mappings defined on a complete metric space in terms of the Ćirić integral contractions. As an…
A new form of the Hahn-Banach Theorem
Sokol Bush Kaliaj
In this paper, we present a new form of the Hahn-Banach Theorem in terms of the sub-additive convex functions.
Another proof of the analytic Hahn-Banach Theorem
Sokol Bush Kaliaj
In this paper we present another proof of the analytic version of the Hahn-Banach theorem in terms of convex functionals.
Fubini Type Theorems for the strong McShane and strong Henstock-Kurzweil integrals
Sokol Bush Kaliaj
In this paper, we will prove Fubini type theorems for the strong McShane and strong Henstock-Kurzweil integrals of Banach spaces valued functions defined on a closed non-degenerate…
The Hake-McShane and Hake-Henstock-Kurzweil integrals over m-dimensional unbounded sets
Sokol Bush Kaliaj
In this paper, we extend the Hake-McShane and Hake-Henstock-Kurzweil integrals of Banach space valued functions from m-dimensional open and bounded sets to m-dimensional sets G suc…
Dunford-Henstock-Kurzweil and Dunford-Mcshane integrals of vector-valued functions defined on m-dimensional bounded sets
Sokol Bush Kaliaj
In this paper, we define the Dunford-Henstock-Kurzweil and the Dunford-McShane integrals of Banach space valued functions defined on a bounded Lebesgue measurable subset of m-dimen…
Full characterizations of the variational McShane Integral on -dimensional compact intervals
Sokol Bush Kaliaj
In this paper we consider the additive interval functions defined on the family of all non-degenerate closed subintervals of the cubic interval $C_{m} = [0,1]^{m}…
Descriptive characterizations of the integral by seminorms
Sokol Kaliaj, Zenepe Shkoza
In this paper, we first define the concept of the limit average range of a function defined on and taking values in a Hausdorff locally convex topological vector space (loc…