有限族渐近伪压缩映象Ishikawa迭代收敛的充要条件

在取消φ（ t）≤t，βn≤αn ，∑^∞n＝0αn （ kn-1）＜∞条件下，并用αn→0（ n→∞）取代∑∞n＝0α^2n ＜∞，在Banach空间中建立了有限族一致Lipschitz的渐近伪压缩映象不动点的修改的Ishika-wa迭代序列收敛的充要条件，从而本质推广和改进了已有文献中的结果。

Sufficient and necessary conditions of Ishikawa iterative convergence for finite family asymptotically pseudocontractive mappings

Under the condition of removing the restriction φ（ t）≤t,βn≤αn ,and ∑^∞n=0αn （ kn-1）〈∞, a sufficient and necessary condition for modified Ishikawa iterative sequences approximations problem of fixed point for finnite family uniformly Lipschitz asymptotically pseudocontractive mappings in real Banach spaces is estab-lished by substituting ∑∞n=0α^2n 〈∞ with αn→（ n→∞）, which essentially extend and improve the corresponding results in some references.