A projection method for approximating fixed points of quasinonexpansive mappings in Hadamard spaces

Fixexd point theory and applications

Shuechin Huang¹  Yasunori Kimura² 

[1] Department of Applied Mathematics, National Dong Hwa University, Hualien, Taiwan;Department of Information Science, Toho University, Funabashi, Japan

关键词: quasinonexpansive mapping;    weak contraction;    Moudafi viscosity approximation;    Halpern iteration;    AKTT condition;    \(\operatorname{CAT}(0)\) space;    Hadamard space;    47H09;    47J25;   

DOI  :  10.1186/s13663-016-0523-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY