多项式型迭代方程的一致凸解  

Uniformly Convex Solutions to Polynomial-like Iterative Equation

作　　者：夏梦莲 Xia Menglian(Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学,重庆401331

出　　处：《廊坊师范学院学报（自然科学版）》2024年第2期16-19,共4页Journal of Langfang Normal University(Natural Science Edition)

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。In this paper,we will use the Schauder fixed point theoremto discuss the sufficient conditions for the existence of uniformly convex solutions topolynomial 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 

分 类 号：O193[理学—数学]