有限族渐近伪压缩映象Ishikawa迭代收敛的充要条件  

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

作　　者：张树义[1] 宋晓光[1] 万美龄 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》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)

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.

关 键 词：BANACH空间 有限族渐近伪压缩型映象 渐近非扩张映象 修改的Ishikawa迭代序列 

分 类 号：O177.91[理学—数学]