渐近正则映射对的不动点

Fixed Points of a Pair of Asymptotically Regular Mappings

本文在P一致凸Banach空间中证明了浙近正则映射对的若干不动点定理．在Hilbert空间，Lp空间，Hardy空间Hp和Sobolev空间Hp，k中，1＜P＜＋∞，k≥0，也建立了这些映射的若干不动点定理．本文推广了Gornicki[9，10]，Kruppel[11,12]和其他作者的结果。

In this paper. some theorems on fixed points of a pair of asymptotically mapgular mappings in p-uniformly convex Banach space are proved. For these mappings some fixed point theorems in a Hilbert space, in Lp spaces, in Hardy spa ces Hp and in Sobolev spaces Hp,k, for 1<p<+∞ and k≥0 are also established.Thus, results of Gornicki[9,10], Kruppel[11,12] and others are extended.