Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a k+1-step iterative scheme with error terms

作者：Xiao, Jian-Zhong^*; Sun, Jing; Huang, Xuan

来源：Journal of Computational and Applied Mathematics, 2010, 233(8): 2062-2070.

DOI：10.1016/j.cam.2009.09.039

• Asymptotically quasi-nonexpansive mapping
• Semi-compact mapping
• Common fixed point
• Power equicontinuity
• Uniformly convex Banach space

In this paper a k + 1-step iterative scheme with error terms involving k + 1 asymptotically quasi-nonexpansive mappings is studied. In usual Banach spaces, some sufficient and necessary conditions are given for the iterative scheme to approximate a common fixed point. In uniformly convex Banach spaces, power equicontinuity for a mapping is introduced and a series of new convergence theorems are established. Several known results in the current literature are extended and refined.

• 出版日期2010-2-15
• 单位南京信息工程大学