Approximation Analysis for a Common Fixed Point of Finite Family of Mappings Which Are Asymptotically k-Strict Pseudocontractive in the Intermediate Sense

Abstract EN

We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptotically ki-strict pseudocontractive mappings in the intermediate sense for i=1,2,…,N.

The projection of x0 onto the intersection of closed convex sets Cn and Qn for each n≥1 is not required.

Moreover, the restriction that the interior of common fixed points is nonempty is not required.

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