讲座题目：Introduction to the monotone $alpha$-nonexpansive mappings in Banach Spaces
讲座时间：2016年12月13日（周二）下午15:00-16:30
讲座地点：南教一120
主讲人： Yeol Je Cho(赵烈济) 院士
摘要：In this talk, we consider the following topics: First, we introduce the concept of monotone $\alpha$-nonexpansive mappings in an ordered Banach space $E$; Second, with the help of Mann's iteration, we show some existence theorems of fixed points of monotone $\alpha-$nonexpansive mappings in uniformly convex ordered Banach space; Third, we prove some weak and strong convergence theorems of Mann's iteration for finding a fixed point of monotone 0$\alpha$-nonexpansive mappings under some conditions; Finally, we give some open problems.
报告人简介：赵烈济教授现为韩国科学院理学部院士、韩国庆尚国立大学教授。
1.1979-present: Professor of Gyeongsang National University
2. 2006--present: Fellow of the Korean Academy of Science and Technology, Korea
2014--2016: Distinguished Adjunct Professor, King Abdulaziz University, Saudi Arabia
2015--present: Visiting Professor, Center for General Education, China Medical University,Taiwan
January 15, 2016--March 3, 2016: Distinguished Visiting Professor, King Mongkut's University of Technology, Thailand
2016--2017: Mathematics Ambassador, The Korean Mathematical Society, Korea
January 10, 2017--March 10, 2017: Distinguished Visiting Professor, King Mongkut's University of Technology, Thailand
2015--present: Fellow of the GaeChuk Academy of Gyeongsang National University, Korea
3. Editor of 19 Journal of Mathematics and Applications,
Fixed Point Theorye and Applications, USA
Dynamics of Continuous, Discrete and Impulsive Systems, Canada
The Australian J. of Mathematical Analysis and Applications, Australia
SpringerPlus, Springer
Carpathian Journal of Mathematics, Romania
Journal of Nonlinear Sciences and Applications, Iran
4. Gave 150 times of Plenary and Keynote Talks and Invited Talks at International Conferences
5. Published 350 papers in the SCI Journals
6. Citations of my papers:
Google Scholar Citations [Google]}: 11.657
MathSciNet [Amer. Math. Soc.]: 2.602
Scopus [Elsevier]: 4.533
ResearchGate: 8.128
Web of Science [Thomson Reuters]: 4.015
Citation Ranking of Thomson Reuters: 18 ranking position
in the World and (upper 1 percentage) Highly Cited Researcher (2014--2016)
7. Published 15 Books at Springer, Taylor & Francis, CRC Press, Nova Science Publishers
