On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces

Ishikawa Iterative Process with Errors for Strongly Pseudo-contractive Mappings in Banach Spaces

In this paper,we study the Ishikawa iterative sequences with errors for Lipschitzian strongly pseudo-contractive operator in arbitrary real Banach spaces. Our results improve the results obtained previously by C. E. Chidume [3] and Zeng [9].

Strong Convergence Theorems for Strictly Pseudo-contractive Mappings by Viscosity Approximation Methods in Banach Spaces

In this paper, we introduce a modified Mann iterative process for strictly pseudo-contractive mappings and obtain a strong convergence theorem in the framework of q-uniformly smooth Banach spaces. Our results improve and extend the recent ones announced by (Kim and Xu 2005), (Xu 2004) and some others.

Some iterative algorithms for k-strictly pseudo-contractive mappings in a CAT (0) space

In this paper, we prove the ∆-convergence theorems of the cyclic algorithm and the new multi-step iteration for k-strictly pseudo-contractive mappings and give also the strong convergence theorem of the modified Halpern’s iteration for these mappings in a CAT (0) space. Our results extend and improve the corresponding recent results announced by many authors in the literature. Key–Words: CAT (0...

Some convergence theorems of implicit iterative process for nonexpansive mappings in Banach spaces

The purpose of this paper is to study the convergence problem of implicit iteration process for a finite family of nonexpansive mappings in Banach spaces. The results presented in this paper not only generalize some recent results but also give an affirmative answer to the open question suggested by Xu and Ori [11].

A New Composite Implicit Iterative Process for a Finite Family of Nonexpansive Mappings in Banach Spaces