Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces
1 Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan
2 Department of Electronic Engineering, Nan Kai University of Technology, Nantour 542, Taiwan
Fixed Point Theory and Applications 2011, 2011:49 doi:10.1186/1687-1812-2011-49Published: 5 September 2011
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.