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Banach空间中可数簇全拟-Φ-渐近非扩张非自映射的强收敛定理 被引量：2

Strong Convergence Theorems for a Countable Family of Quasi-Φ-asymptotically Nonexpansive Nonself Mappings in Banach Spaces
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摘要 在具有Kadec-Klee性质的一致光滑和严格凸Banach空间中讨论了一类完全拟-Φ-渐近非扩张非自映射簇的公共不动点的迭代逼近问题,并证明了这类完全拟-Φ-渐近非扩张非自映射强收敛性.改进和推广了参考文献的结论:在一致凸和一致光滑的Banach空间中渐近非扩张非自映像(或广义渐近非扩张非自映像簇)的公共不动点的迭代逼近问题. In this paper, we introduce a bunch of totally quasi-φ-asymptotally nonexpansive nonself mappings＇, and prove the strong covergece for a family of totally quasi-φ-asymptotically nonexpansive nonself mappings in Uniformly smooth and strictly convex Banach spaces with Kadec-Klee property.
作者 李小蓉
机构地区 宜宾学院数学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第1期62-67,共6页 Journal of Sichuan Normal University（Natural Science）
基金 四川省教育厅自然科学青年基金(11ZB146)资助项目
关键词 渐近非扩张非自映射 拟-φ-渐近非扩张非自映射 全拟-φ-渐近非扩张非自映射 asymptotally nonexpansive nonself mapping quasi-th-asymptotaliy nonexpansive nonself mapping totally quasi-φ-as-ymptotically nonexpansive nonself mapping
分类号 G642.4 [文化科学—高等教育学]
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参考文献29

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二级参考文献18

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共引文献2

同被引文献37

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引证文献2

二级引证文献1

四川师范大学学报（自然科学版）
2014年 第1期

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