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Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets
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作者 Yi-bin Xiao Mou-tao Liu +1 位作者 Tao Chen Nan-jing Huang 《Science China Mathematics》 SCIE CSCD 2022年第7期1469-1484,共16页
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 perturb... 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. 展开更多
关键词 evolutionary variational-hemivariational inequality l-pseudomonotone duality mapping Mosco convergence smallness condition
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