Iteration xn+1= xn+1f(xn)+ (1 - xn+1) Tnx for a Non-Self x-Strongly Pseudocontractive Map

Let X be a Banach space, € be a nonempty closed convex subset of X, and Tbe self nonexpansive map. The sequence {xn} generated by the iterative methodx xn+1= xn+1f(xn)+ (1 - xn+1) Tnx, where f:C-C be a contractive mapping and {xnj is a sequence in [0,1]. We generalize the mapping T to non-selx-Strongly Pseudocontractive