一类压缩型映象的公共不动点定理  

The common fixed point theorems for a class of contraction mapping

作　　者：董清平[1] 陈军民[1] 谷峰[1] 

机构地区：[1]杭州师范大学数学系,浙江杭州310036

出　　处：《宝鸡文理学院学报（自然科学版）》2008年第2期88-89,共2页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：浙江省自然科学基金资助(Y605191);黑龙江省自然科学基金资助(A0211);浙江省教育厅科研项目资助(20051897)

摘　　要：目的为了进一步发展和完善度量空间中的不动点理论,扩展不动点定理的应用范围。方法利用度量空间中自映象对的可交换性条件。结果建立了紧度量空间中3个自映象的公共不动点的存在性和唯一性定理,得到了一个新的公共不动点定理。结论结果表明,在适当的条件下,紧度量空间中的3个两两可交换的自映象存在唯一的公共不动点。Aim In order to develop and improve the fixed point theorem in metric space and extend the application. Methods The commutative condition of selfmapping pairs are applied in metric space. Results Three selfmappings theorem of existing and unique of common fixed point were buit,a new theorem of common fixed point in compact metric space was obtained. Conclusion Under the proper condition,three commutative selfmappings in each other exist the unique common fixed point.

关 键 词：紧度量空间 交换映象 公共不动点 

分 类 号：O189[理学—数学] O177[理学—基础数学]