伪压缩族公共不动点的复合隐格式迭代逼近问题OACSCD
Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Pseudocontractive Maps
设H是一实Hillber空间,K是H之一非空间凸子集,设{Ti}Ni=1是N个Lipschitz伪压缩映象使得F=N()i=1F(Ti)≠(),其中F(Ti)={X∈K:Tix=x}并且{αn)∞n=1,{βn}∞n=1()[0,1]是满足如下条件的实序列 (i)∞∑n=1(1-αn)2=+∞;(ii) limn→∞(1-αn)=0; (iii)∞∑n=(1-βn)<+∞;(iv)(1-αn)L2<1,()n≥1; (v)αn(1-βn)2+[β…查看全部>>
Let H be a real Hilbert space and let K be a nonempty closed convex subset of H.Let{T,}Ni=l be N Lipschitz pseudocontractive self-maps of K such that F= N∩i=1F(Ti)≠(),where F(Ti)={x ∈K:Tix=x)and let{αn}∞n=1 and {βn}∞n=1()[0,1] be two real sequences satisfying the conditions (i)∞∑n=1(1-αn)2=+∞;(ii) limn→∞(1-αn)=0; (iii)∞∑n=(1-βn)<+∞;(iv)(1-αn)L2<1,()n≥1; (v)αn(1-βn)2+[βn+L(l-βn]2<1, where L≥1 is common Lipschitz constant of {Ti}Ni=1.For x0 ∈ K,let {xn}∞n=1 be…查看全部>>
秦小龙;苏永福;商美娟
天津工业大学,理学院数学系,天津,300160河南大学,数学与信息科学学院,开封,475002天津工业大学,理学院数学系,天津,300160
数理科学
伪压缩映射复合隐格式迭代公共不动点
pseudocontractive mapscomposite implicit iteration processcommon fixed points
《应用泛函分析学报》 2007 (2)
97-105,9
天津市学科建设基金(100580204)
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