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UCW -hyperbolic 空间中一类映射的不动点性质
引用本文:崔云安,赵霞霞,张敬信.UCW -hyperbolic 空间中一类映射的不动点性质[J].黑龙江商学院学报,2014(4):482-485.
作者姓名:崔云安  赵霞霞  张敬信
作者单位:哈尔滨理工大学应用数学系,哈尔滨150080
基金项目:省教育厅科研面上项目(12531099);国家自然基金天元基金项目(11226127)
摘    要:应用UCW-hyperbolic 空间中一致凸模的定义及其单调性给出了渐近平均非扩张映射不动点的存在性定理,进一步证明了其半闭原理,推广了渐近平均非扩张映射的一些已有结论。

关 键 词:UCW-hyperbolic空间  渐近平均非扩张映射  不动点

Study on fixed point properties for a kind of mappings in UCW-hyperbolic spaces
CUI Yun-an,ZHAO Xia-xia,ZHANG Jing-xin.Study on fixed point properties for a kind of mappings in UCW-hyperbolic spaces[J].Journal of Harbin Commercial University(Natural Sciences Edition),2014(4):482-485.
Authors:CUI Yun-an  ZHAO Xia-xia  ZHANG Jing-xin
Institution:(School of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, China)
Abstract:In this paper , the existence of fixed points and the demi-closed principle for as-ymptotically mean nonexpansive mappings in UCW -hyperbolic spaces were proved by app-ling the definition and monotonicity of consistent convex mold , which extended some existed conclusions for asymptotically nonexpansive mappings .
Keywords:UCW -hyperbolic space  asymptotically mean nonexpansive mappings  fixed point
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