希尔伯特空间上混合变分不等式解的存在性条件  

Existence Conditions of Solutions for Mixed Variational Inequalities in Hilbert Space

作　　者：王欣睿 

机构地区：[1]西南石油大学理学院,四川 成都

出　　处：《理论数学》2023年第5期1418-1421,共4页Pure Mathematics

摘　　要：混合变分不等式是一种重要的变分不等式,它与众多经济学、物理学的问题息息相关。研究变分不等式的一个重要的问题就是变分不等式的解是否存在。本文利用FKKM定理研究了混合变分不等式在各种适当条件下的解的存在性,给出了几个使得MVI解存在的定理。Mixed variational inequality is an important type of variational inequality that is closely related to many problems in economics and physics. An important question in studying variational inequality is whether the solution of the variational inequality exists. This paper uses the FKKM theorem to study the existence of solutions for mixed variational inequality under various appropriate condi-tions, and provides several theorems that enable the existence of MVI solutions.

关 键 词：混合变分不等式 FKKM定理 

分 类 号：O17[理学—数学]