报告题目: On the regularity of the Landweber transformation
报 告 人： Professor Andrzej Cegielski
University of Zielona Góra
报告地点：理学院A502会议室
报告时间：2019年12月10日（周二）9:30-11:30
摘要:We consider the split convex feasibility problem in a fixed point setting. Based on the well-known CQ-method of Byrne (2002), we define an abstract Landweber transformation which applies to more general operators than the metric projection. It turns out that the Landweber transformation preserves many interesting properties. For example, the Landweber transformation of a (quasi/firmly) nonexpansive mapping is again (quasi/firmly) nonexpansive. Moreover, the Landweber transformation 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.
报告人简介：
Andrzej Cegielski, Full professor at University of Zielona Góra. He is the Dean of the Faculty of Mathematics, Computer Science and Econometrics between 2005 and 2012. His research interests including Iterative methods for convex optimization problems, Nondifferentiable minimization and Iterative methods for variational inequalities etc. Honors and Awards: Award of the Ministry of Science, Poland (1987), Award of the Rector of the University in Zielona Góra, Poland (1997, 2010, 2012, 2014, 2015, 2016, 2017, 2018), Award of the Rector of the Jagiellonian University (Mlak and Opial Award), Poland (2014). He is Vice President Polish Mathematical Society between 1999 and 2002. He is Member of Editorial Board of Discussiones Mathematicae. Differential Inclusions, Control and Optimization and Numerical Algorithms. He published over 36 peer reviewed papers in famous journals including SIAM Journal on Optimization, Inverse Problems, Optimization and Journal of Nonlinear and Convex Analysis, etc. He published an English written book, Iterative Methods for Fixed Point Problems in Hilbert Spaces, Lecture Notes in Mathematics 2057, Springer, Berlin, 2012.
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南昌大学理学院数学系
南昌大学科学技术处
2019年12月
