In this paper, we use partial order theory to study mixed monotone operators,and get existence and uniqueness of fixed point without assuming the operator to be compact or continuous. And apply the new results to Hammerstain integral equations on RN.
Zhi Tao ZHANG.
Fixed Point Theorems of Mixed Monotone Operators and Its Applications. Acta Mathematica Sinica, Chinese Series, 1998, 41(6): 0-0+0 https://doi.org/10.12386/A1998sxxb0200
