| 空间几何常数与集值非扩张映射的不动点 |
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| 引用本文： | 左占飞.空间几何常数与集值非扩张映射的不动点[J].数学学报,2021(2):281-288. |
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| 作者姓名： | 左占飞 |
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| 作者单位： | 重庆三峡学院数学与统计学院 |
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| 基金项目： | 重庆市自然科学基金基础研究与前沿探索专项面上项目(cstc2019jcyj-msxmX0289);重庆市科委基础研究与前沿探索(cstc2018jcyjAX0773);重庆三峡学院人才引进项目。 |
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| 摘 要： | 本文利用凸刻画系数和正规结构系数,詹姆斯型常数和García-Falset系数之间的关系式,得到了空间上集值非扩张映射存在不动点的一些充分条件,这些结论不仅改进了一些文献中的结果,而且也对一些公开问题给出了解答.
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| 关 键 词： | 凸刻画系数 正规结构系数 詹姆斯型常数 García-Falset系数 不动点 |
Some Geometric Constants and Fixed Points for Multivalued Nonexpansive Mappings |
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| Zhan Fei ZUO.Some Geometric Constants and Fixed Points for Multivalued Nonexpansive Mappings[J].Acta Mathematica Sinica,2021(2):281-288. |
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| Authors: | Zhan Fei ZUO |
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| Institution: | (Department of Mathematics and Statistics,Chongqing Three Gorges University,Wanzhou 404100,P.R.China) |
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| Abstract: | Some geometric conditions in terms of the characteristic of convexity,the normal structure coefficient,the James type constant and the García-Falset coefficient were considered in the paper,which imply the existence of fixed points for multivalued nonexpansive mappings.These fixed point theorems improve some well known results and give affirmative answers to some open questions. |
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| Keywords: | characteristic of convexity normal structure coefficient James type constant García-Falset coefficient fixed point |
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