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

Document Type : Research Paper

Authors

Department of Mathematics, University of Lagos, Lagos, Nigeria

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

References

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History

  • Receive Date: 14 May 2022
  • Revise Date: 16 October 2022
  • Accept Date: 04 November 2022

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