Recent Topics on Metric Fixed Point Theory and Applications
Yeol Je Cho
Department of Mathematics Education, Gyeongsang National University
Jinju, Korea
Time: 10:30am-11:30am, June 5
Venue：A1-512, Main Building
Abstract
Fixed Point Theory is divided into the following three major areas:
(1) Topological Fixed Point Theory, which came from Brouwer's fixed point theorem in 1912;
(2) Metric Fixed Point Theory, which came from Banach's fixed point theorem in 1922;
(3) Discrete Fixed Point Theory, which came from Tarski's fixed point theorem in 1955.
In this talk, we focus on recent topics on metric fixed point theory and its applications, which will be very helpful to beginners and specialists of metric fixed point theory and its applications. In fact, since Banach's fixed point theorem in metric spaces, because of its simplicity, usefulness and applications, it has become a very popular tools in solving the existence problems in many branches of mathematical analysis and applied sciences. Recently, Banach's fixed point theorem has been applied to Economics, Chemical Engineering Sciences, Medicine, Image Recovery, Electric Engineering, Game Theory and other applied sciences by many authors.
Brief Biography:
Prof. Yeol Je Cho is now a Professor of Gyeongsang National University, Jinju, Korea since 1979 and received B.Sc. degree (1976), M.Sc. degree (1979), Ph.D. degree (1984) in Mathematics, all from Pusan National University, Pusan, Korea. Over the years, he has held various positions, Visiting Scholar (Post-Doctor) in Saint Louis University, USA, Distinguished Adjunct Professor in King Abdulaziz University, Saudi Arabia, Visiting Professor in China Medical University, Taiwan, Distinguished Visiting Professor, King Mongkut’s University, Thonburi, Thailand and some other positions. Majors of Professor Cho are Nonlinear Functional Analysis and Applications, Geometry of Banach Spaces, Inequality Theory and Applications, especially, Fixed Point Theory and related topics and he have published about 400 papers in the SCI and SCIE journals and also 10 more books in Springer, Taylor & Francis, CRC Press, Nova Science Publishers and others. Now, citations of Professor Cho’s papers are as follows: MathSciNet [Amer. Math. Soc] 2.790, Scopus [Elsevier]: 4.750, Web of Science [Thomson Reuters]: 4.183, ResearchGate: 8.659, Google Scholar Citations [Google]: 11.634.
Now, Professor Cho is a Fellow of the Korean Academy of Science and Technology since 20016 and a Highly Cited Researcher ranking among the top 1% for most cited documents in his specific fields from 2014. Also, Professor Cho has served as Editors of four SCIE journals and 10 more International Journals of Mathematics and received Awards on excellent papers, the education contribution in Mathematics, Achievement for the KMS from the Korean Mathematical Society and some others.
