Boundary Point Method and Mann-Dotson's Algorithm for Nonself Strict Pseudo-contractive Mappings in Uniformly Smooth Banach Spaces.

Let C be a closed, convex and nonempty subset of a q-uniformly smooth Banach space X. Let be a strict pseducontractive inward mapping. We consider the boundary point map depending on C and T defined by , for all. Then for a suitable step-by-step construction of the control coefficients by using the function , we show the convergence of the Mann-Dotson algorithm to a fixed point of T. We obtain strong convergence if and weak convergence if. [ABSTRACT FROM AUTHOR]