2014•International Mathematical ForumOpen access
Some simple properties and existence of HS-integrals in a locally convex space
Juniven P. Acapulco, Julius V. Benitez
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Abstract
Copyright c © 2014 Juniven P. Acapulco and Julius V. Benitez. This is an open access article distributed under the Creative Commons Attribution License, which permits unre-stricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we define the Henstock-Stieltjes integral for functions that take values in a locally convex space. Results such as uniqueness, linearity, addidivity, Cauchy Criterion, and integrability on subinter-vals are presented. Moreover, some conditions on the existence of the Henstock-Stieltjes integrals are also presented.