Existence of coupled quasi-fixed points for mixed monotone operators and its application to the discontinuous integral equations

摘要

Existence theorems of minimal and maximal coupled quasi-fixed points for the complex type mixed monotone operator in partial order topological spaces are established. As its application, we investigate the existence of the minimal and maximal coupled quasi-solution for the discontinuous Hammerstein integral equation in Banach space. Our results improve and extend some well-known results.