一类投影方程的解的存在性研究
Study on the Existence of Solutions for a Class of Projection Equations
摘要: 本文引进和研究了一类投影方程组在希尔伯特空间中解的情况。我们首先利用Schauder不动点定理给出了这个方程组解的几个存在性条件，进一步，我们利用了Banach压缩映像原理给出了这个方程解的唯一存在的条件。
Abstract: In this paper, we introduce and study the solution of a class of projection equations in Hilbert space. We first use Schauder’s fixed point theorem to provide several existence conditions for the solution of this system of equations. Furthermore, we use the Banach contraction mapping principle to provide the condition for the unique existence of the solution of this equation.
文章引用：王欣睿. 一类投影方程的解的存在性研究[J]. 理论数学, 2023, 13(6): 1753-1757. https://doi.org/10.12677/PM.2023.136179

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