en تخصصي Special پژوهشي Research paper The PUL integral is an integration process, similar to the Kurzweil-Henstock integral, which<br> uses the notion of partition of unity. Boonpogkrong discussed the Kurzweil-Henstock<br> integral on manifolds. The PUL-Stieltjes integral, established by Flores and Benitez, is an<br> extension of the PUL Integral. In this paper, we present some Convergence Theorems for the<br> PUL-Stieltjes integral. Notions on the equi-integrability of this integral are also presented in<br> the paper. PUL-Stieltjes Integral, Uniform Convergence, Equi-integrability. 61 72 http://ijmsi.ir/browse.php?a_code=A-10-2948-1&slc_lang=en&sid=1 G. B. Flores greigbates.flores@gmail.com 10031947532846008816 10031947532846008816 Yes Mindanao State University - Buug Campus J. Benitez jbenitez@gmail.com 10031947532846008817 10031947532846008817 No Iligan Institute of Techonology of the Mindanao State University