Some New Fixed Point Theorems Of Several Operators

This text importantly makes use of partial order method to study the existence of fixed points of several operators( including non-continuous monotone operator, mixed monotone operator and non-linear operator) , and sets up several new theorems of fixed point. The full text divides into 4 sections.Important introduction is clicked in some basic knowledge that should originally be utilized in the article.in section one.Utilizing partial order to study the existence of fixed points of non-continuous monotone operator in section two, we have popularized the original result on the basis of changing, expanded the condition .In section three we importantly synthesize conditions and draw to the existence of fixed points of mixed monotone operator more compactly, and we further study the question of convergence of the iteration sequence .In section four we study the existence of fixed points of the equation group of non-linear operators( without considering the qualities such as mixed monotony and continuity), and we discuss the convergence of Mann iteration sequence. Thus we get a new theorems about fixed point.