In this paper,the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are inv...In this paper,the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are investigated.Some necessary condition and sufficient condition for the convergence of iterative sequences are given respectively.The results thus extend and improve some recent corresponding results.展开更多
本文在去掉lim inf||x_n||<∞,sum from n=0 to ∞(k_n-1)<∞条件下,并用α_n→0(n→∞)取代sum from n=0 to ∞α_n^2<∞,使用新的分析技巧,在赋范线性空间中建立了一致Lipschitz的渐近拟伪压缩型映象公共不动点的修改的广义I...本文在去掉lim inf||x_n||<∞,sum from n=0 to ∞(k_n-1)<∞条件下,并用α_n→0(n→∞)取代sum from n=0 to ∞α_n^2<∞,使用新的分析技巧,在赋范线性空间中建立了一致Lipschitz的渐近拟伪压缩型映象公共不动点的修改的广义Ishikawa迭代序列的强收敛定理,从而本质改进和推广了唐玉超,刘理蔚新近的结果.展开更多
基金Supported by the National Science Foundation of Yunnan Province(2 0 0 2 A0 0 58M)
文摘In this paper,the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are investigated.Some necessary condition and sufficient condition for the convergence of iterative sequences are given respectively.The results thus extend and improve some recent corresponding results.
文摘本文在去掉lim inf||x_n||<∞,sum from n=0 to ∞(k_n-1)<∞条件下,并用α_n→0(n→∞)取代sum from n=0 to ∞α_n^2<∞,使用新的分析技巧,在赋范线性空间中建立了一致Lipschitz的渐近拟伪压缩型映象公共不动点的修改的广义Ishikawa迭代序列的强收敛定理,从而本质改进和推广了唐玉超,刘理蔚新近的结果.
