关于实函数不动点的原理及应用

The Theory and Application of the Fixed Point on Real Variable Function

实变函数中不动点问题不仅在理论上而且在应用上都十分重要。就实函数的不动点原理，从拓扑学角度的不动点定义推广到一元实函数上不动点的定义，并对此原理在一元实函数中加以探索和总结。结果表明：不动点理论在一元实函数中具有灵活性和广泛的应用性。

The fixed point theory of real variable function is very important not only in theory but also in the application. In this paper, based on the fixed point theory of the real function, the fixed point definition was extended from the topological point to the function of one variable, and the relevant principle has been explored and summarized in the function of one variable. The results show that the fixed point theory has a flexibility and wide range of applications in the function of one variable.