講座題目:Recent results on zeros of monotone and accretive operators
主講人:秦小龍 杭州師范大學教授
講座時間:2020-11-16 14:30
講座地點：碩勛樓501教室
主講人簡介：
秦小龍，杭州師范大學，教授，博士生導師，自動化學會-粒計算與多尺度分析專委會理事。主要從事非線性泛函分析與最優(yōu)化理論方面的研究。近年來已在SICON, ESAIM-cocv, GMJ等國際學術刊物發(fā)表論文80余篇，主持4項省部和國家級自然科學基金，獲浙江省自然科學獎三等獎(排名第一)，并擔任JNVA，F(xiàn)PT, JM, JNFA等國際期刊編委工作。
講座主要內容：
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.
