Open Access Research

Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces

Ming Tian* and Xin Jin

Author Affiliations

College of Science, Civil Aviation University of China, Tianjin 300300, China

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Fixed Point Theory and Applications 2011, 2011:88  doi:10.1186/1687-1812-2011-88

Published: 25 November 2011

Abstract

In this article, we study an iterative method over the class of quasi-nonexpansive mappings which are more general than nonexpansive mappings in Hilbert spaces. Our strong convergent theorems include several corresponding authors' results.

2000 MSC: 58E35; 47H09; 65J15.

Keywords:
quasi-nonexpansive mapping; Lipschitzian continuous; strongly monotone; nonlinear operator; fixed point; viscosity method