Title of article :
Convergence theorems of a general approximation method for common fixed points of a finite family of asymptotically-quasi nonexpansive mappings in Banach spaces
Author/Authors :
Dong ، Qiao-Li - Civil Aviation University of China , He ، Songnian - Civil Aviation University of China , Deng ، Bin-Chao - Tianjin University
Abstract :
In this paper, we consider a general iterative scheme to approximate a common xed point for a nite family of asymptotically quasi-nonexpansive mappings. Several strong and weak convergence results are presented in Banach spaces and an nite family of asymptotically quasi-nonexpansive mappings is constructed. Our results generalize and extend many known results in the current literature.
Keywords :
Modified Mann and Ishikawa iterations , Asymptotically quasi , nonexpansive mappings , Common fixed points , Weak and strong convergence , Uniformly convex Banach spaces
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications