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

Fixexd point theory and applications

Zenn-Tsun Yu¹  Chih-Sheng Chuang²  Lai-Jiu Lin² 

[1] Department of Electronic Engineering, Nan Kai University of Technology, Nantour, Taiwan;Department of Mathematics, National Changhua University of Education, Changhua, Taiwan

关键词: nonexpansive mapping;    fixed point;    generalized hybrid mapping;    CAT(0) spaces;   

DOI  :  10.1186/1687-1812-2011-49

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY