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Stability Analysis for Evolutionary Variational-Hemivariational lnequalities with Constraint Sets

Abstract

In this talk, we provide the stability analysis for an evolutionary variational-hemivariational inequality in reflexive Banach space, whose data, including the constraint set, are perturbed. First, 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 solution to the evolutionary variational-hemivariational inequality, and prove their strong convergence to the unique solution of the evolutionary variational-hemivariational inequality under different mild conditions.


Short bio

肖义彬,电子科技大学数学科学学院教授,博士生导师。主要从事变分不等式、半变分不等式、最优化理论及其在工程、力学以及交通科学中的应用等方面的研究。在《TRB》、《TRE》、《JOGO》、《JOTA》等运筹学、交通领域学术刊物上发表论文多篇;主持国家自然科学基金面上项目、青年基金项目,中国博士后科学基金特别资助项目等国家级、省部级科研项目。现任美国《Mathematical Reviews》的评论员、德国《数学文摘》评论员、中国运筹学会理事、中国运筹学会数学规划分会青年理事、四川省数学会理事;入选四川省第十批学术带头人后备人选。