The purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. The results in this paper improve and extend the corresponding results of Xu and Ori, Zhou and Chang, Sun, Yang and Yu in some aspects.

Pseudomonotone variational inequalities have been investigated by many authors, a common assumption ?weak sequential continuity? being imposed on pseudomonotone operators. In this paper, we propose an iterative procedure for solving and fixed point problems of asymptotically pseudocontractive operators using self-adaptive techniques. Under weaker than weak continuity operators, prove that the s...