摘要
介绍集值映射在赋范空间中的一种新的单调性,称之为广义松弛拟单调.运用KKM理论,证明变分不等式在新引入的单调映射下解的存在性.此外,还证明广义松弛μ拟凸函数的次微分是广义松弛μ拟单调的.
In this paper,we introduce a broader class of multivalued generalized relaxed quasimonotone mappings in normed spaces. Using the KKM technique,the existence of solutions of variational inequalities for such operators is established. Furthermore,it is proved that the subdifferential of generalized relaxed μ quasiconvex functionis generalized relaxed μ quasimonotone.
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2016年第3期337-343,共7页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(11271274)
关键词
变分不等式
广义松弛拟单调算子
广义松弛拟凸函数
次微分
variational inequalities
generalized relaxed quasimonotone operators
generalized relaxed quasiconvex functions
subdifferentials
