A projection method for approximating fixed points of quasinonexpansive mappings in Hadamard spaces
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- 作者：Shuechin Huang ; Yasunori Kimura
- 关键词：quasinonexpansive mapping ; weak contraction ; Moudafi viscosity approximation ; Halpern iteration ; AKTT condition ; \(\operatorname{CAT}(0)\) ; space ; Hadamard space
- 刊名：Fixed Point Theory and Applications
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：2016
- 期：1
- 全文大小：1,612 KB
- 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
- 出版者：Springer International Publishing
- ISSN：1687-1812
文摘
This work is devoted to analyzing the feasibility study of a Moudafi viscosity projection method with a weak contraction for a finite family of quasinonexpansive mappings in a Hadamard space. To this end, we need to construct a countable family of nonexpansive mappings satisfying AKTT condition with a weak contraction by choosing an appropriate control sequence under certain conditions.