半序赋范空间及增算子的不动点定理

Partially Ordered Normed Space and Fixed Point Theorem of Increasing Operator

在赋范线性空间 E中定义了由 E上连续线性泛函确定的半序 ,并由半序引出 E上的锥 ,讨论了半序和锥的若干性质 。

In linear normed space E we define a partial order which depends on the continuous linear functional. By the partial order we construct a coine of E and discuss properties of the cone. Finally, we prove some fixed point theorem of increasing operator.