Iterative process for a strictly pseudo-contractive mapping in uniformly convex 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].

Nonexpansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces

In this paper, most of classical and modern convergence theorems of iterative schemes for nonexpansive mappings are presented and the main results in the paper generalize and improve the corresponding results given by many authors. 2000 Mathematics Subject Classification: Primary 47H17; secondary 47H05, 47H10.

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.

Convergence of Implicit and Explicit Schemes for an Asymptotically Nonexpansive Mapping in q-Uniformly Smooth and Strictly Convex Banach Spaces

Uniformly convex Banach spaces are reflexive - constructively

We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the MilmanPettis theorem that uniformly convex Banach spaces are reflexive. Our aim in this note is to present a fully constructive analysis of the Milman-Pettis theorem [11, 12, 9, 13]: a uniformly convex Banach space is reflexive. First, t...