摘要
在取消φ(t)≤t,βn≤αn,∑∞n=0αn(kn-1)<∞条件下,并用αn→0(n→∞)取代∑∞n=0α2n<∞,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Ishikawa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.
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.
出处
《渤海大学学报（自然科学版）》
CAS
2013年第4期339-342,共4页
Journal of Bohai University:Natural Science Edition
基金
国家自然科学基金(No:11371070)
