从教学出发浅谈“不动点理论及其应用”

On "Fixed Point Theory and its Application" from the Perspective of Teaching

不动点理论是泛函分析和高等数学中的一个非常重要的理论,也是本科及研究生泛函分析教学中的一个重难点,一直得到众多学者及数学家们的广泛关注。文章将在不动点理论及不动点理论在数列、方程求解方面的应用给出对不动点理论的一些教学思考。

fixed point theory is a very important theory in functional analysis and advanced mathematics,and it is also a difficult point in functional analysis teaching for undergraduate and graduate students,which has been widely concerned by many scholars and mathematicians.In this paper,some teaching thoughts on fixed point theory are given in the application of fixed point theory and fixed point theory in sequence and equation solving.