锥度量空间中Lipschitz型映射的公共不动点定理

Common Fixed Point Theorem of Lipschitz Type Mappings on Cone Metric Space

本文在锥度量空间框架下,证明了几个满足Lipschitz型条件的映射对的公共不动点定理,其结果是许多压缩型不动点定理的推广,并举例说明本文定理是通常压缩型不动点定理的真推广.

In this paper,some common fixed points of a pair of self mappings satisfying a Lipschitz type conditions in cone metric space or metric space are proven.The results are more general than the known fixed point theorem of contractive type mappings. Some examples are given,which show that the mappings satisfy the conditions in this paper but cannot satisfy the general contractive type conditions.