Approximating common fixed points of asymptotically nonexpansive mappings
Bull. Korean Math. Soc. 2005 Vol. 42, No. 4, 661-670 Printed December 1, 2005
Yeol Je Cho, Jung Im Kang, and Haiyun Zhou Gyeongsang National University, Gyeongsang National University, Shijiazhuang Mechanical Engineering College
Abstract : In this paper, we deal with approximations of common fixed points of the iterative sequences with errors for three asymptotically nonexpansive mappings in a uniformly convex Banach space. Our results generalize and improve the corresponding results of Khan and Takahashi, Schu, Takahashi and Tamura, and others.
Keywords : uniformly convex Banach space, asymptotically nonexpansive mapping, nonexpansive and quasi-nonexpansive mappings, uniformly $L$-con-tinuous mapping, the modified Ishikawa iterative sequence with errors, common fixed point