Equivalence of sequential Henstock and topological Henstock integrals for interval valued functions

Author(s):

Victor Odalochi Iluebe , Adesanmi Alao Mogbademu

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

Suppose $X$ is a locally compact Hausdorff space and $\Omega \in \bigtriangleup$. If $ F $ is an interval valued function defined in $ \Omega $ with $F:\bar \Omega\rightarrow I_{\mathbb{R}}$. Suppose $F$ is Topological Henstock integrable, is $ F $ Sequential Henstock integrable? Therefore, the purpose of this paper is to provide a positive response to this query.

Keywords:

Sequential Henstock integral , Interval valued functions , Topological Henstock , guages , right , left endpoints

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
267 to 274
https://www.magiran.com/p2583788