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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: u ( s ) = ϕ i ( s ) + ∫ a b K i ( s , r , u ( r ) ) d r , where s ∈ ( a , b ) ⊆ R ; u , ϕ i ∈ C ( ( a , b ) , R n ) and K i : ( a , b ) ...

Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations

Mian Bahadur Zada 1 ˙Inci M Erhan 0 0 Department of Mathematics, Atılım University , Ankara , Turkey 1 Department of Mathematics, University of Malakand , Chakdara Dir(L) , Pakistan In this article