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  • On the regularity of the Landweber transformation

    发布者:文明办发布时间:2019-11-21浏览次数:89


    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.