Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets  

作　　者：Yi-bin Xiao Mou-tao Liu Tao Chen Nan-jing Huang 

机构地区：[1]School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,China [2]College of Mathematics,Sichuan University,Chengdu 610064,China

出　　处：《Science China Mathematics》2022年第7期1469-1484,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11771067 and 11671282);the Applied Basic Project of Sichuan Province(Grant No.2019YJ0204);the Fundamental Research Funds for the Central Universities(Grant No.ZYGX2019J095)。

摘　　要：In this paper,we provide the stability analysis for an evolutionary variational-hemivariational inequality in the reflexive Banach space,whose data including the constraint set are perturbed.First,by using its perturbed data and the duality mapping,the perturbed and regularized problems for the evolutionary variational-hemivariational inequality are constructed,respectively.Then,by proving the unique solvability for the evolutionary variational-hemivariational inequality and its perturbed and regularized problems,we obtain two sequences called approximating sequences of the solution to the evolutionary variational-hemivariational inequality,and prove their strong convergence to the unique solution to the evolutionary variationalhemivariational inequality under different mild conditions.

关 键 词：evolutionary variational-hemivariational inequality L-pseudomonotone duality mapping Mosco convergence smallness condition 

分 类 号：O178[理学—数学]