Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications
1 Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
2 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, USA
3 Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea
4 Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea
Fixed Point Theory and Applications 2012, 2012:58 doi:10.1186/1687-1812-2012-58Published: 13 April 2012
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