本文研究了一类非线性非紧算子不动点定理.利用锥理论,在不需要非线性项满足连续性和紧性条件下,获得无穷区间上Fredholm型积分方程解的存在唯一性,并给出逼近解迭代序列的误差估计.
In this article, we generalize the fixed point theorem of a class of nonlinear and noncompact operators. By using the cone theory, the existence and uniqueness of solution of nonlinear Fredholm type integral equations on an infinite interval can be obtained without the assumption of continuity and compactness condition. The error estimate of the iterative sequence of approximation solutions is given.