设E是Banach空间,本文在比C[I,E]更一般的Banach空间中得到了几个新的非连续增算子不动点定理.作为应用,我们研究了Banach空间中含间断项的非线性脉冲积分方程和微分方程的最大解和最小解的存在性.

Abstract In this paper, we obtain several new fixed point theorems for discontinuous increasing operators in a wider Banach space than C[I, E] for a Banach space E. As applications, we investigate the existence of maximal and minimal solutions of nonlinear impulsive integral equations and differential equations with discontinuous terms in Banach spaces.