非线性泛函分析序集一般原理的推广

GENERALIZATIONS OF THE GENERAL PRINCIPLE ON ORDERED SETS IN NONLINEAR FUNCTIONAL ANALYSIS

本文是作者工作[1—4]的继续.在[5]中,著名数学家 H.Brezis 和 F.E.Browder 证明了下列定理(见[5]推论3):定理 A.设 X 是具有半序结构的 Hausdorff 拓扑空间,满足:i)对任给 x∈X,{y∈X|y≥x}都是序列闭集;

In this paper the general principle on ordered sets in nonlinear functional anal-ysis by H.Brezis and F.E.Browder is generalized.Some applications to the fixedpoint theory are also given.