学术报告-何诣然

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2020-12-16 15:24:00

学术报告


题      目: Extragradient methods for variational inequality


报  告  人:何诣然   教授  (邀请人:叶颀 )

                                   四川师范大学



时      间:2020-12-16  14:30--15:30


地      点:学院二楼会议室


报告人简介:

        何诣然,香港中文大学博士,新加坡国立大学博士后。四川师范大学研究生院院长、博士生导师,四川省有突出贡献的中青年专家,2011 年被授予全国五一劳动奖章荣誉称号,2015 年被授予全国先进工作者称号。2010 年获得四川省科技进步二等奖。先后主持4项国家自然科学基金。在变分不等式理论与算法、误差界理论等方面共发表30余篇SCI学术论文,他引超过200次。主要贡献包括,建立了退化非线性包含问题的误差界理论;提出非单调型变分不等式的投影算法,解决了投影算法长期以来依赖单调型假设的问题。

摘      要:

       Projection-type methods for solving variational inequalities usually require that the mapping involved have a certain kind of generalized monotonicity and/or be Lipschitz continuous, and compute projection once or twice to generate the next iteration from the current iteration. The original projection method computes one projection at each iteration, but needs very restrictive assumption that the mapping is strongly monotone and Lipschitz continuous. The assumption can be relaxed if the times of computing projection become twice instead of once, this is what the extragradient method and its variant do. This talk concerns a topic of growing interest which either computes projection twice at each iteration and assumes less restrictive monotonicity, or computes projection once at each iteration with only monotonicity assumed.