讲座题目:Recent results on zeros of monotone and accretive operators

主讲人:秦小龙 杭州师范大学教授

讲座时间:2020-11-16 14:30

讲座地点：硕勋楼501教室

主讲人简介：

秦小龙，杭州师范大学，教授，博士生导师，自动化学会-粒计算与多尺度分析专委会理事。主要从事非线性泛函分析与最优化理论方面的研究。近年来已在SICON, ESAIM-cocv, GMJ等国际学术刊物发表论文80余篇，主持4项省部和国家级自然科学基金，获浙江省自然科学奖三等奖(排名第一)，并担任JNVA，FPT, JM, JNFA等国际期刊编委工作。

讲座主要内容：

Zero point problems of monotone and accretive operators are popular research topics of common interest in the areas of modern optimization and nonlinear functional analysis. Zero point problems of monotone and accretive operators, which have been extensively investigated recently, have a close relationship with biological engineering, economics and management, and computer science and find a number of real applications in medical imaging, differential equations and inclusions, machine learning, and transportation. The aim of this talk is to recall some classical iterative methods, such as, Mann iterative method, Ishikawa iterative method, Halpern iterative method, Hybrid projection methods etc and investigate the zero point problems of monotone and accretive operators with efficient numerical methods. Some strong convergence theorems are established in various framework of spaces without any compact assumptions on the spaces and the potential operators.