报告题目：Generalized D-gap functions for hemivariational inequalities in Hilbert spaces
主讲人：肖义彬教授（电子科技大学）
时间：2026年7月1日（周三）15:00 p.m.
地点：北院卓远楼305会议室
主办单位：统计与数学学院
摘要：
In this talk, we are committed to the study of generalized difference gap (D-gap)functions and error bounds for hemivariational inequalities in Hilbert spaces. By introducing a new gap function, we define the generalized D-gap function for the hemivariational inequality considered, for which we investigate the local Lipschitz continuity and coercivity. Then, some error bound results for the generalized D-gap function are established and the relationship between the solution to the hemivariational inequality and the stationary point of the generalized D-gap function is discussed. Finally, we construct a descent algorithm for solving the hemivariational inequality based on the generalized D-gap function and further prove a convergence result for the algorithm.
主讲人简介：
肖义彬，电子科技大学数学科学学院教授，博士生导师，副院长。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》、《IP》、《JSC》、《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理事、四川省数学会常务理事、《应用数学与力学》青年编委会委员；入选四川省第十六批学术和技术带头人。
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