An Iterative Algorithm for Approximating a Common Fixed Point of a Finite Family of Pseudo-pseudocontractive Mapping in Hilbert Space.

Abstract

In this thesis we introduced an iterative algorithm for approximating a common fixed point of a finite family Pseudo-pseudocontractive mappings in Hilbert space and proved a strong convergence of a sequence generated by proposed algorithm to a common fixed point in Hilbert spaces provided that the mappings are uniformly continuous which are sequentially weakly continuous. Finally, we applied our main results to find a common minimum point of a finite family of convex functions in Hilbert spaces. Our results extended and generalized many results in the literature.