ScholarLens Back to search
2007•Unpublished venueRequires access

Approximation of Nearest Common Fixed Point of Nonexpansive Mappings in Hilbert Spaces

Ee Chi

Open publisher page 0 citations

Abstract

The purpose of this paper is to study the convergence problem of the iteration scheme x_(n+1)=λ_(n+1y)+(1-λ_(n+1))T_(n+1)x_n for a family of infinitely many nonexpansive mappings T_1,T_2,…in a Hilbert space.It is proved that under suitable conditions this iteration scheme converges strongly to the nearest common fixed point of this family of nonexpansive mappings.The results presented in this paper extend and improve some recent results.

About this research paper

What this paper is about

The purpose of this paper is to study the convergence problem of the iteration scheme x_(n+1)=λ_(n+1y)+(1-λ_(n+1))T_(n+1)x_n for a family of infinitely many nonexpansive mappings T_1,T_2,…in a Hilbert space.It is proved that under suitable conditions this iteration scheme converges strongly to the nearest common fixed point of this family of nonexpansive mappings.The results presented in this paper extend and improve some recent results.

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

The purpose of this paper is to study the convergence problem of the iteration scheme x_(n+1)=λ_(n+1y)+(1-λ_(n+1))T_(n+1)x_n for a family of infinitely many nonexpansive mappings T_1,T_2,…in a Hilbert space.It is proved that under suitable conditions this iteration scheme converges strongly to the nearest common fixed point of this family of nonexpansive mappings.The results presented in this paper extend and improve some recent results.

Key concepts: Hilbert space, Mathematics, Convergence (economics), Fixed point, Scheme (mathematics), Discrete mathematics, Applied mathematics, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Approximation of Nearest Common Fixed Point of Nonexpansive Mappings in Hilbert Spaces — Research Paper | ScholarLens