In this paper, by using Mann’s iteration process we will establish several weak convergence theorems for approximating a fixed point of k-strictly pseudocontractive mappings with respect to p in p-uniformly convex Banach spaces. Our results answer partially the open question proposed by Marino and Xu, and extend Reich’s theorem from nonexpansive mappings to k-strict pseudocontractive mappings.

Mann iteration of weak convergence theorems in Banach space

In this paper, by using Mann's iteration process we will establish several weak convergence theorems for approximating a fixed point of kstrictly pseudocontractive mappings with respect to p in puniformly convex Banach spaces. Our results answer partially the open question proposed by Marino and Xu, and extend Reich's theorem from nonexpansive mappings to kstrict pseudocontractive mappings.

Mann Iteration of Weak Convergence Theorems in

An Implicit Iteration Process with Errors for a Finite Family of r-strictly Asymptotically Pseudocontractive Mappings

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An Implicit Iteration Process with Errors for a Finite Family of r-strictly Asymptotically Pseudocontractive Mappings