Description
We present a new iterative method, based on the so called
-dense curves, to approximate coupled fixed points of nonexpansive mappings. Compactness condition on the mapping or its domain of definition is necessary. As application, we construct a sequence which converges to a solution of certain system of integral equations of Volterra type.



![On a generalized coupled fixed point theorem in C[0,1] and its application to a class of coupled systems of functional-integral equations](https://www.carpathian.cunbm.utcluj.ro/wp-content/uploads/2015-vol-31-3/carpathian_2015_31_3_333_337_001-400x400.png)