Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications
Xiaolong Qin, Ravi P. Agarwal, Sun Young Cho, Shin Min Kang · Fixed Point Theory and Applications · 2012
Abstract In this article, strong convergence of Krasnoselski-Mann iterative sequences and Halpern iterative sequences are investigated based on hybrid projection methods. Strong convergence theorems for common fixed points of a family of generalized asymptotically quasi-ϕ-nonexpansive mappings are established in the framework of Banach spaces. Mathematics Subject Classification 2000: 47H09; 47J05; 47J25