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

Authors

  • Xinghui Gao College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi, 716000
  • Lerong Ma College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi, 716000

DOI:

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

Keywords:

quasi-nonexpansive mapping, hybrid algorithm, strong convergence, Hilbert space

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.

Published

2019-11-22

Issue

Section

Articles