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双曲空间中混合型迭代的强收敛定理及应用

Strong Convergence Theorem for Mixed Type in Hyperbolic Spaces with Applications
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摘要 在双曲空间中,讨论了一有限簇全渐近非扩张非自映象与另一有限簇全渐近非扩张映象公共不动点的问题,引入了一个混合型迭代序列.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已有结果. The problem on the common fixed points of two finite family of total asymptotically nonexpansive nonself mappings in Hyperbolic spaces is discussed.Under suitable conditions,some strong convergence theorems are obtained,which extend and improve some of the latest results.
作者 雷贤才
机构地区 宜宾学院数学研究所
出处 《河北师范大学学报（自然科学版）》 CAS 北大核心 2014年第4期341-347,共7页 Journal of Hebei Normal University：Natural Science
基金 国家自然科学基金(11001289) 四川省教育厅自然科学重点基金(13ZA0199) 高校自然科学研究重点基金(2012S19)
关键词 双曲空间 全渐近非扩张非自映象 混合型迭代 强收敛定理 hyperbolic space total asymptotically nonexpansive nonself mappings mixed type iterative scheme strong convergence theorem
分类号 O177.91 [理学—基础数学]
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参考文献17

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二级参考文献28

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共引文献4

河北师范大学学报（自然科学版）
2014年 第4期

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