主题：Variational Characterizations of the D-Gap Function for a Variational Inequality Problem

主讲人：重庆文理学院 李明华副教授

主持人：经济555000jc赌船 孟开文副教授

时间：2019年3月20日（星期三）下午16:00-17:00

地点：西南财经大学柳林校区通博楼B412会议室

主办单位：经济555000jc赌船 科研处

报告人简介：

李明华, 本科、硕士和博士毕业于重庆大学，现任重庆文理学院数学系副教授。主要研究方向：最优化理论与方法。主持国家自然科学青年基金1项，省部级自然基金2项。

主要内容：

In this talk, by virtue of a unified framework, we establish the formulas of subderivative, Clarke directional derivative, regular subdifferential, limiting subdifferential and Clarke subdifferential of a D-gap function for a variational inequality problem. Employing these formulas, we study the regularity of the D-gap function. Moreover, we provide some sufficient conditions of the KL inequality for the D-gap function. Especially, we give a sufficient and necessary condition of the KL inequality for the D-gap function when the reference point is a solution of the variational inequality problem. Finally, under the KL inequality of the D-gap function and being due to these formulas again, we show that a derivative-free descent method is globally convergent and has linear convergence rate.