Abstract :
In this study, the existence of solution of the non-linear singular integral equation systemw(z)=f1(.,w(.),h(.),T_{G}g1(.,w(.),h(.)),Π_{G}h1(.,w(.),h(.)))(z) h(z)=f2(.,w(.),h(.),T_{G}g2(.,w(.),h(.)),Π_{G}h2(.,w(.),h(.)))(z)has been investigated. Here,T_{G}f(z)andΠ_{G}f(z)are Vekua integral operators defined byT_{G}f(z) = -(1/π)iint_{G}((f(ς))/(ς-z))dξdη Π_{G}f(z) = -(1/π)iint_{G}((f(ς))/((ς-z)))dξdη.
Keywords :
Singular integral equations , Holder continuity , fixed point theorem , contraction mapping
