An Iterative Approximation Method for a Common Fixed Point of Two Pseudocontractive Mappings

الملخص EN

We introduce an iterative process for finding an element in the common fixed point sets of two continuous pseudocontractive mappings.

As a consequence, we provide an approximation method for a common fixed point of a finite family of pseudocontractive mappings.

Furthermore, our convergence theorem is applied to a convex minimization problem.

Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.