摘要
本文讨论LCS中压缩算子及非扩展算子存在不动点的一些性质及严格凸空间中非扩展算子不动点集的某些特性。引进了渐近正则算子的概念,并讨论了它与算子存在不动点的关系。 本文均设E是实分离的LCS,E的拓扑由E上的连续半范数族Г决定。
In this paper I give the fixed poiut properties of contraction operator and non-expansive operator in locally convex space, and discuss the some specificity of fixed points set about non-expansive operator tn strictly convex space.
At the same time I introduce the conception of asympotitic regular operator in LCS, obtain some fixed point theorems on contraction operator and non-expansive operator in LCS.
出处
《龙岩师专学报》
1991年第3期11-15,共5页
Journal of Longyan Teachers College
