Abstract

The main aim of our paper is to prove the existence of a solution of a system of simultaneous Voltera-Hammerstein nonlinear integral equations by the help of a common fixed point theorem satisfying a generalized contractive condition. For, we have used a common fixed point result of generalized contractive condition in a complete metric space for two pairs of weakly compatible mappings.

Keywords: Common fixed point; generalized contractive condition; nonlinear integral equation; weakly compatible mappings.

MSC: 47H10, 54H25

Pages:  223$-$231     

Volume  64 ,  Issue  3 ,  2012