On the basis of Kwapisiz s semi-ordered space and abstract space, it discusses common fixed point problem of a kind of commuting mappings, extends the results of Zhang Shisheng.

The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized.

The notion of the space of semiorderings on a commutative ring is introduced.

The fixed point and eigenelement for binary operators of α concave and convex in normal cone of the semiordered space are discussed,and iterative procedure and error extimate can be given.

Thinking about introducing space sequence concept;

It is mainly the light and space sequence that create the four-dimensional space.

Gate plays an important role because it is start-point of space sequence of the acrhitectural group,it has funcitons in protection,traffic and culture.