Abstract:

By way of the Petryshyn inequality lemma and Wmapping technique, the author proves that an explicit iterative algorithm with infinitely many k-strictly pseudocontractive mappings converges strongly to a common fixed point of the mappings. In the setting of Hilbert spaces, the strong convergence theorem extends some recent result from explicit iteration of nonexpansive selfmappings into explicit iteration of k-strictly pseudocontractive nonselfmappings with errors.

Key words: k-strictly pseudocontractive nonselfmappings, metric projection, uniformly Gateaux differentiable