局部凸空间中Fredholm型非线性积分方程的解的存在性

SOLUTION EXISTENCE OF FREDHOLM NONLINEAR INTEGRAL EQUATIONS IN LOCALLY CONVEX SPACE

首先利用局部凸空间非紧性测度得到了一个新的不动点定理;接着运用此定理来讨论局部凸空间中Fredholm型非线性积分方程解的存在性,并应用到弱拓扑结构下Fredholm型非线性积分方程解的存在性的讨论.推广了原有文献的结果.

In this paper, we get a new fixed point theorem via the measure of noncompactness in locally convex spaces first. Then, we apply the above theorem to study the existence of solutions for Fredholm nonlinear integral equations. In particular, we use these results to get the solution existence of Fredholm nonlinear integral equations relative to the weak topology.