共轭方程φ（f（x））=g（ φ（x））递减根的存在性

Existence of Decreasing Roots of the Conjugate Function φ（f（x））=g（ φ（x））

给出了共轭方程φ(f(x))=f(φ(x))在f和g严格递减的情况下其单调递减根存在性的条件,并利用此结果研究了一类有两个非单调点的函数迭代根的存在性.

The existence of decreasing roots of the conjugate function φ（f（x））=g（φ（x）） is discussed when f and g are decreasing,and the existence of iterative roots of one kind of functions which have two non-monotone points is studied.