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PDF(422 KB)
PDF(422 KB)
空间几何常数与集值非扩张映射的不动点
Some Geometric Constants and Fixed Points for Multivalued Nonexpansive Mappings
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.
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.
凸刻画系数 / 正规结构系数 / 詹姆斯型常数 / Garí / a-Falset系数 / 不动点 {{custom_keyword}} /
characteristic of convexity / normal structure coefficient / James type constant / Garcí / a-Falset coefficient / fixed point {{custom_keyword}} /
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