Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces  

作　　者：A. R. Khan H. Fukhar-ud-din 

机构地区：[1]Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

出　　处：《Journal of Applied Mathematics and Physics》2014年第5期170-175,共6页应用数学与应用物理（英文）

摘　　要：We introduce a general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong convergence. The new iterative method includes multi-step iterative method of Khan et al. [1] as a special case. Our results are new in hyperbolic spaces and generalize many known results in Banach spaces and CAT(0) spaces, simultaneously.We introduce a general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong convergence. The new iterative method includes multi-step iterative method of Khan et al. [1] as a special case. Our results are new in hyperbolic spaces and generalize many known results in Banach spaces and CAT(0) spaces, simultaneously.

关 键 词：HYPERBOLIC Space General ITERATIVE Method Generalized ASYMPTOTICALLY Quasi-Nonexpansive Mapping Common Fixed Point Strong Convergence 

分 类 号：O1[理学—数学]