Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces.
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 insandron [Formula: see text].
Department of Mathematics, University of Malakand, Chakdara, Dir(L) Pakistan.
Mian
M
Bahadur Zada
Department of Mathematics, University of Malakand, Chakdara, Dir(L) Pakistan.
Muhammad
M
Sarwar
Faculty of Mechanical Engineering, Universitry of Belgrade, Kraljice Marije 16, Beograd, 11 120 Serbia.
Stojan
S
Radenović
Urysohn integral equations; Volterra-Hammerstein integral equations; common [Formula: see text]-property; common fixed point; weakly compatible maps