MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Solution of nonlinear integral equations via fixed point of generalized contractive condition
R. K. Verma and H. K. Pathak

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.

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

MSC: 47H10, 54H25

Pages:  223--231     

Volume  64 ,  Issue  3 ,  2012