[17.4.13] Recent Topics on Metric Fixed Point Theory and Applications
- 홍미혜
- 조회수2124
- 2017-08-25
▣ 연 사 : 조열제 교수 (경상대 수학교육과)
▣ 일 시 : 2017년 4월 13일(목) 4:30 - 5:30
▣ 장 소 : 31351A호 (수학과 대학원세미나실)
▣ 대 상 : 수학과 학부생 및 대학원생
▣ 다 과 : 4시 20분부터
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.