主讲人:Professor Andrzej Cegielski
时间:2019年12月3日14:30
地点:数学系332室
举办单位:数理学院
主讲人介绍:Ph.D. in mathematics, Technical University Wrocław (Poland), Institute of Mathematics 1981, title of PhD Thesis: Games of timing with incomplete information•Habilitation in mathematics, Adam Mickiewicz University Poznań (Poland), Faculty of Mathematics and Computer Science, 1995 •Associated Professor at the University of Zielona Góra, 1997 •Full Professor, 2011
内容介绍:We consider the split convex feasibility problem in a fixed point setting. Basedon the well-known CQ-method of Byrne (2002), we define an abstract Landwebertransformation which applies to more general operators than the metric projec-tion. It turns out that the Landweber transformation preserves many interestingproperties. For example, the Landweber transformation of a (quasi/firmly) nonex-pansive mapping is again (quasi/firmly) nonexpansive. Moreover, the Landwebertransformation of a (weakly/linearly) regular mapping is again (weakly/linearly)regular. These regularity properties are relevant because they lead to(weak/linear)convergence of many CQ-type methods.