Title of article :
The distributional Henstock-Kurzweil integral and applications II
Author/Authors :
Liu ، Wei - Hohai University , Ye ، Guoju - Hohai University , Zhao ، Dafang - Hohai University
Abstract :
In this paper, we study a special Banach lattice D_HK , which is induced by the distributional HenstockKurzweil integral, and discuss its lattice properties. We show thatD_HK is an AMspace with the Archimedean property and the DunfordPettis property but it is not Dedekind complete. We also present two fixed point theorems in D_HK . Meanwhile, two examples are worked out to demonstrate the results.
Keywords :
Distributional Henstock , Kurzweil integral , Banach lattice , AM , space , Archimedean property , DunfordPettis property , order continuity
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
