数学杂志2021，Vol.41Issue(6)：503-513,11.
Banach空间上的微分混合均衡问题
DIFFERENTIAL MIXED EQUILIBRIUM PROBLEMS IN BANACH SPACE
摘要
Abstract
In this paper,we investigate a new class of differential mixed equilibrium problems((DME),for short)in Banach space.By using Fan-KKM theorem and Ky Fan's minmax inequality,we respectively prove the existence of solutions for mixed equilibrium problems under some suitable conditions.Moreover,we prove the superpositional measurability and upper semicontinuity for a class of set-valued mappings.Finally,by using the theory of semigroups and Filippov implicit function lemma,we obtain the existence theorem concerned with the mild solutions for(DME)and discuss the compactness of the solution set.The results enrich and extend the theory of equilibrium.关键词
微分混合均衡问题/Banach空间/Fan-KKM定理/Ky Fan极大极小不等式/Filippov隐函数引理Key words
differential mixed equilibrium problems/Banach space/Fan-KKM theorem/Ky Fan's minmax inequality/Filippov implicit function lemma分类
数理科学引用本文复制引用
汪志伟,鞠贵垠..Banach空间上的微分混合均衡问题[J].数学杂志,2021,41(6):503-513,11.基金项目
Supported by Postgraduate Research&Practice Innovation Program of Jiangsu Province(KYCX20_1321). （KYCX20_1321）
