Fixed point theorems of discontinuous increasing operators and applications to nonlinear integro-differential equations

摘要

In this paper, we obtain some new existence theorems of the maximal and minimalfixed points for discontinuous increasing operators in $C[I, E]$, where $E$ is aBanach space. As applications, we consider the maximal and minimal solutions ofnonlinear integro-differential equations with discontinuous terms in Banachspaces.