2012Journal of Applied MathematicsOpen access

Three‐Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces

Zhanfei Zuo

Open full text 1 citations

Abstract

The convergence of three‐step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three‐step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results.

Open-access reader

About this research paper

What this paper is about

The convergence of three‐step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three‐step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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

The convergence of three‐step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three‐step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results.

Key concepts: Iterated function, Fixed point, Mathematics, Banach space, Convergence (economics), Fixed-point iteration, Applied mathematics, Fixed-point theorem

Related papers

Back to paper searchBrowse research topicsOriginal source
Three‐Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces — Research Paper | ScholarLens