Some corrections are made in our article, which was published in Appl. Anal. Optim. Vol. 3 (2019), No. 1, 103--127. These corrections are intended to transform the equation \eqref{ eq:1.1} \begin{ equation}\label{ eq:1.1} x(t) + \int\limits_a^t { K_1(t,s,x(s)) ds} + \int\limits_a^b { K_2(t,s,x(s)) ds} = g(t),\;\,a \le t \le b \tag{ 1.1} \end{ equation} into a discretized form in a tighter and more accurate way without affecting the main results of the article.
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