α凹凸算子对的不动点定理及其应用

The Fixed Point Theorem of α Concave-Convex Operator Pair and Its Applications

本文获得半序实Banach空间与σ—备半序线性空间锥上的α凹、-α凸以及α凹与-α凸算子对的多个公共不动点定理,并讨论了不动点的有关性态,同时给出若干应用。

In the cone of semi-order real Banach space and σ-complete semi-order linearspace, some public fixed point theorems of operator pair of α concave, -α convex,a concave and -α convex were obtained. The related properties of fixed point havealso been studied and its applications were given.