在严格拟伪压缩映像不动点的迭代算法基础上,给出了Banach空间中渐近k-拟伪压缩映像不动点的迭代算法,改进了算法,并证明了一个强收敛定理,扩展了已知的相关结果.
[1] ZHOU Haiyun, GAO Xinghui. An iterative method of fixed points for closed and quasi-strict pseudo-contraction in Banach spaces [J]. Journal of Applied Mathematics and Computing 2010, 33.
[2] TAKAHASHI W. Nonlinear functional analysis [M]. Yokohama:Yokohama Publishers 2000.
[3] Martinez-Yanes C, Xu HK. Strong convergence of the CQ method for fixed point iteration processes [J]. Nonlinear Analysis: An International Multidisciplinary Journal 2006, 11(11).
[4] KAMIMURA S, TAKAHASHI W. Strong convergence of a solution to accretive operator inclusions and applications [J]. Set-Val-ue Anal 2000, 8.
[5] QIN Xiaolong. On the convergence of iterative processes for nonlinear operators [D]. Chinju:Gyeongsang National University 2010.
[6] HUDZIK H, KOWALEWSKI W, LEWICKI G. Approximative compactness and full rotundity in Musielak-Orlicz spaces and Lorentz-Orlicz spaces [J]. Zeitschrift Fur Analysis Und Ihre Anwendungen 2006, 25.
[7] ALBER, YA I. Metric and generalized projection operators in Banach spaces [M]. New York, USA:Marcel Dekker, Inc 1996.
[8] ZHOU Haiyun, GAO Gailiang, TAN Bin. Convergence theorems of a modified hybrid algorithm for a family of quasi-asymptotically nonresponsive [J]. Journal of Applied Mathematics and Computing 2010, 32.