Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces

[摘要] We define a viscosity method for continuous pseudocontractivemappings defined on closed and convex subsets of reflexive Banach spaces witha uniformly Gâteaux differentiable norm. We prove the convergence of theseschemes improving the main theorems in the work by Y. Yao et al. (2007) and H. Zhou (2008).

[学科分类] 应用数学