A New Hybrid Algorithm and Its Numerical Realization for a Quasi-Nonexpansive Mapping

A New Hybrid Algorithm and Its Numerical Realization for a Quasi-Nonexpansive Mapping

Year:    2017

Author:    Xinghui Gao, Lerong Ma

Communications in Mathematical Research , Vol. 33 (2017), Iss. 4 : pp. 340–346

Abstract

The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper are interesting extensions of those known results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2017.04.06

Communications in Mathematical Research , Vol. 33 (2017), Iss. 4 : pp. 340–346

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    quasi-nonexpansive mapping hybrid algorithm strong convergence Hilbert space

Author Details

Xinghui Gao

Lerong Ma