Non-convex hybrid algorithm for a family of countable quasi-Lipschitz mappings and application
Fixed Point Theory and Applications(2015)
摘要
The purpose of this article is to establish a kind of non-convex hybrid iteration algorithms and to prove relevant strong convergence theorems of common fixed points for a uniformly closed asymptotically family of countable quasi-Lipschitz mappings in Hilbert spaces. Meanwhile, the main result is applied to get the common fixed points of finite family of quasi-asymptotically nonexpansive mappings. It is worth pointing out that a non-convex hybrid iteration algorithm is first presented in this article, a new technique is applied in our process of proof. Finally, an example is given which is a uniformly closed asymptotically family of countable quasi-Lipschitz mappings. The results presented in this article are interesting extensions of some current results.
更多查看译文
关键词
47H05, 47H09, 47H10, nonexpansive mapping, hybrid algorithm, Cauchy sequence, closed quasi-nonexpansive
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络