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Banach空间中可数无限族连续伪压缩映象公共不动点的强收敛定理 被引量：1

Strong Convergence of the Common Fixed Points of a Countable Family of Continuous Pseudocontractive Mappings in Banach Spaces
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摘要 在Banach空间中,关于可数无限族连续伪压缩映象公共不动点的问题,引入了一个隐迭代序列.并在适当的条件下,证明了一个强收敛定理.所得结果推广和改进了A.Rafig(Nonlinear Anal:TMA,2007,66(10):2230-2236.)和Y.H.Yao等(Nonlinear Anal:TMA,2007,67:3311-3317.)的主要结果. The problem on the common fixed points of a countable family of continuous pseudocontractive mappings is dicussed in Banach spaces. Under suitable conditions, some strong convergence theorems are obtained. The results presented in the paper extend and improve the main results in literatures （A. Rafig. Nonlinear Anal ：TMA,2007,66（10） ：2230- 2236. ） and （Y. H. Yao, Y. C. Liou, R. D. Chen. Nonlinear Anal： TMA,2007 ,67 ：3311 - 3317. ）.
作者 左平 刘敏
机构地区 宜宾学院数学研究所
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第3期370-374,共5页 Journal of Sichuan Normal University（Natural Science）
基金 四川省应用基础基金(2011JYZ011) 四川省教育厅自然科学基金(12ZA295)资助项目 宜宾学院科学研究项目(2011Z03和2011Z08)
关键词 连续伪压缩映象 一致光滑BANACH空间 严格凸BANACH空间 正规对偶映象 continuous pseudocontractive mapping uniformly smooth Banach space strictly convex Banach space normalized duality mappings
分类号 O177 [理学—基础数学]
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共引文献9

同被引文献19

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  • 10丁协平.乘积局部FC-一致空间内的聚合不动点定理和应用(英文)[J].四川师范大学学报（自然科学版）,2008,31(1):1-5. 被引量：4

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四川师范大学学报（自然科学版）
2013年 第3期

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