摘要
在偏序度量空间中引入了广义弱压缩映射条件,证明了同伦不动点的存在性定理,推广了原有的某些结果.
This paper introduces a generalized weak contraction mapping conditions in partial ordering metric space,proves the existence theorem of homotopy fixed point,and extends some of the original results.
引文
[1]Matlhews S G.Partial metric topology[C].Roc 8th Summer Conference on General Topology and Applocations,Ann New York Acard.Sci,1994,728:183-197.
[2]Ram ACM,Reuring,MC.A fixed point throrem in partially ordered sets and some applications to matrix equations[J].ProcAm.Math Soc,2004,132:1435-1443.
[3]Abbas M,Nazir T.Fixed point of generalized weakly contractive mappings in ordered partial metric spaces[J].Springer-Verlag,2012,1:1687-1812.