赋范线性空间中渐近拟伪压缩型映象不动点的修改的广义Ishikawa迭代逼近

Modified Generalized Ishikawa Iterative Approximations of Fixed Points for Asymptotically Quasi Pseudocontractive Type Mappings in Normed Linear Spaces

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.

Under the condition of removing the restriction lim inf｜｜xn｜｜〈∞,∑ n=0 ∞（kn-1）〈∞, and substituente ∑∞n=0 αn^2〈∞ with αn→0（n→∞）, strong convergence theorems n^O of modified generalized Ishikawa iterative sequences of common fixed point for uniformly Lipschitzian asymptotically quasi pseudocontractive type mappings in normed linear spaces are established by using a new analytical method, which essentially improve and extend some recent results obtained by Tang Y C and Liu L W.