2008•Acta Analysis Functionalis ApplicataRequires access

Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space

Zhou Hai-yun

Open publisher page 0 citations

Abstract

Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved.

About this research paper

What this paper is about

Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved.

Key concepts: Mathematics, Banach space, Sequence (biology), Regular polygon, Fixed point, Convergence (economics), Projection (relational algebra), Set (abstract data type)

Related papers

Back to paper searchBrowse research topicsOriginal source
Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space — Research Paper | ScholarLens