Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces

被引:3
|
作者
Lin, Lai-Jiu [1 ]
Chuang, Chih-Sheng [1 ]
Yu, Zenn-Tsun [2 ]
机构
[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan
[2] Nan Kai Univ Technol, Dept Elect Engn, Nantour 542, Taiwan
关键词
nonexpansive mapping; fixed point; generalized hybrid mapping; CAT(0) spaces; NONLINEAR MAPPINGS;
D O I
10.1186/1687-1812-2011-49
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce generalized hybrid mapping on CAT(0) spaces. The class of generalized hybrid mappings contains the class of nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mappings on CAT(0) spaces. We also consider some iteration processes for generalized hybrid mappings on CAT(0) spaces, and our results generalize some results of fixed point theorems on CAT(0) spaces and Hilbert spaces.
引用
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页码:1 / 15
页数:15
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