非扩张非自身映射二重迭代的收敛性

CONVERGENCE OF TWO-STEP ITERATIVE METHODS FOR NONEXPANSIVE NONSELF-MAPPINGS

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摘要研究具有弱序列连续对偶映射的Banach空间中非扩张非自身映射二重迭代的收敛性问题,所得的结果推广了参考文献[2]中的结果. This paper studies the convergence of two - step iterative methods for nonexpansive nonself - mappings in Banach space , which has weakly sequentially continuous duality map -pings. , the result presented extends the corresponding result in [ 2 ].

作者林昌崔云安

机构地区哈尔滨理工大学

出处《哈尔滨师范大学自然科学学报》 CAS 2009年第4期6-9,共4页 Natural Science Journal of Harbin Normal University

基金黑龙江省海外学人资助项目(115HQ07)

关键词非扩张非自身映射不动点弱序列连续对偶映射 Nonexpansive nonself - mappings Fixed point Weakly sequentially Continuous duality mapping

分类号 O177.2 [理学—基础数学] O241.6 [理学—计算数学]

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参考文献9

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3张峰,毕玉洁,赵增勤.一类非线性泛函积分方程单调可积解的存在性[J].曲阜师范大学学报（自然科学版）,2011,37(3):11-14.
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6饶若峰.涉及渐近非扩张映象的新的迭代算法[J].宜宾学院学报,2009,9(12):35-37.
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8刘金霞.一类无穷矩阵代数的右乘序列连续性[J].集美大学学报（自然科学版）,2007,12(2):183-185.
9李红玉,陈汝栋.非扩张映射的粘性迭代逼近[J].天津理工大学学报,2007,23(4):1-5.

哈尔滨师范大学自然科学学报

2009年第4期

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非扩张非自身映射二重迭代的收敛性

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