Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces

[摘要] 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.

[学科分类] 数学（综合）

[关键词] quasi-nonexpansive mapping;Lipschitzian continuous;strongly monotone;nonlinear operator;fixed point;viscosity method