Both necessary and sufficient conditions for the existence and uniqueness of fixed points,which belong to a class of mixed monotone mappings with convexity and concavity in partially-ordered linear space,are studied by using partial order theory.

A chaotic mixed map was constructed using logistic mapping and cube mapping.

Aimed at changing the weakness of anti-prediction in single mapping and the slow efficiency based on the queuing theory and mixed mapping,this paper proposes a new method for generating chaotic FH sequences based on the Logistic mapping and Tent mapping.

The existence of the couple fixed points of a discontinuous mixed monotone multifunction is discussed,and the form of the couple fixed point is also given.

This paper introduces a class of wider mixed monotone multifunction, anddiscusses some existence theorems of the coupled quasifixed points for these mappings.

Using the encryption idea of multi-chaos,this paper proposes an improved multi-chaotic maps based stream cipher algorithm through suitable combination of different single-chaotic maps to enhance the security of the single-chaotic stream encryption system and improve the quality of key-stream sequence under precision limited condition.

Contraction mapping principle of mixed monotone mapping and application;