Abstract
In this paper, we apply the method associated with the technique of measure of noncompactness and some generalizations of Darbo fixed points theorem to study the existence of solutions for a class of integral equation involving the Henstock-Kurzweil-Stieltjes integral. Meanwhile, an example is provided to illustrate our results.
Highlights
Existence theorems of coupled fixed points have been considered by several authors (Chang & Cho, 1996; Roshan, 2017)
We apply the method associated with the technique of measure of noncompactness and some generalizations of Darbo fixed points theorem to study the existence of solutions for a class of integral equation involving the HenstockKurzweil-Stieltjes integral
In this paper we establish the existence of solutions for the following integral equation involving the Henstock-Kurzweil-Stieltjes integral:
Summary
Existence theorems of coupled fixed points have been considered by several authors (Chang & Cho, 1996; Roshan, 2017). In (Chang & Cho, 1996), the authors proved the existence of coupled fixed points for a class of integral operator:. Where h, φ, f are continuous functions, g : [0, L] → R is of boundary variation. The approach associated with the technique of measure of noncompactness and some generalizations of Darbo fixed points theorem will be used.
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