半序空间非连续增算子的不动点定理及应用

Fixed Point Theorems of Discontinuous Increasing Operations in Partly Ordered Space

在半序空间X中证明了具A=CB型增算子的某些新的不动点定理.本文完全没有使用对算子A的连续性和对锥性质的假设.只要求第二空间是半序拓扑空间,B(D)是相对紧集,所得结果推广了近期相关结论.

Let X be partly ordered space, we obtain some new existence theorems of fixed points for increasing operators which is expressed as the form A = CB . In this paper, we do not assume any continuity on A and property on cone. It is only required that the second space is partly ordered topological space and B（D） possess the relatively compactness. Our conclusions generalize and improve many well-known results.