摘要
本文中,我们首先给出了一类混合似变分不等式问题.接着,在Banach空间中研究了它的解的存在性和唯一性.最后,讨论了混合似变分不等式问题的扰动问题,并证明了扰动问题的解的存在唯一性定理.
In this paper, we first introduce a class of mixed variational-like inequalities problems. Then, the existence and uniqueness of the solutions for the problems in Banach spaces are studied. Finally, the perturbation problems for the mixed variational-like inequalities problems are discussed, and the existence and uniqueness theorem of the solutions for the perturbation problems is also proved.
出处
《应用数学学报》
CSCD
北大核心
2007年第3期527-539,共13页
Acta Mathematicae Applicatae Sinica
关键词
混合似变分不等式
松弛η-α单调
扰动问题
mixed variational-like inequality
relaxed η-α monotone
perturbation problem