摘要
本文主要给出了赋p-Amemiya范数的Orlicz函数空间的单调系数及单位球面上点的上(下)局部单调系数的准确值或估计,并进一步给出了该空间中任意非空弱紧凸子集上的集值非扩张自映射具有不动点的条件.
The coefficients of monotonicity subject to Orlicz function space equipped with the p-Amemiya norm are calculated, as well as the upper (lower) local coefficients of monotonicity with respect to the points located on the unit sphere. In addition, the criteria are given for the space to possess weakly set-valued fixed point property.
作者
贺鑫
崔云安
季丹丹
HE Xin;CUI Yun’an;JI Dandan(School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025,P. R. China;School of Applied Sciences, Harbin University of Science and Technology, Harbin,Heilongjiang, 150080, P. R. China;School of Mathematical Sciences, Mudanjiang Normal College,Mudanjiang, Heilongjiang, 157011, P. R. China)
出处
《数学进展》
CSCD
北大核心
2019年第4期459-468,共10页
Advances in Mathematics（China）
基金
国家自然科学基金青年基金资助课题(Nos.11701125,11871181)
中央高校基本科研业务费专项资金资助(No.2017-KYYWF-0317)
牡丹江师范学院一般项目(No.YB201604)
