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Existence of unique common solution to the system of non-linear integral equations via fixed point results in
Mian Bahadur Zada1, Muhammad Sarwar1, Stojan Radenović2
1Department of Mathematics, University of Malakand, Chakdara, Dir(L) Pakistan.
Abstract:
In this article, we apply common fixed point results in incomplete metric spaces to examine the existence of a unique common solution for the following systems of Urysohn integral equations and Volterra-Hammerstein integral equations, respectively: [Formula: see text] where [Formula: see text]; [Formula: see text] and [Formula: see text], [Formula: see text] and [Formula: see text] where [Formula: see text], [Formula: see text], u, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], [Formula: see text], are real-valued measurable functions both in s and r on [Formula: see text].
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