多项式型迭代方程的一致凸解
Uniformly Convex Solutions to Polynomial-like Iterative Equation
夏梦莲1
作者信息
摘要
利用Schauder不动点定理,讨论多项式型迭代函数方程在实数域R上的一致凸解存在性的充分条件.再通过Banach收缩原理,得到该多项式型迭代函数方程一致凸解唯一性、稳定性的充分条件.
Abstract
In this paper,we will use the Schauder fixed point theorem to discuss the sufficient conditions for the existence of uniformly convex solutions to polynomial iterative functional equations in the real number field R.The sufficient conditions for the uniqueness and stability of the uniformly convex solution to the polynomial-like iterative functional equation are ob-tained by using the Banach contraction principle.
关键词
函数方程/迭代/一致凸解Key words
functional equation/iteration/the uniformly convex solutions引用本文复制引用
出版年
2024
NETL
NSTL
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