锥超度量空间中的公共不动点定理  

Common Fixed Point Theorems in Cone Ultra Metric Spaces

作　　者：彭荣[1] 

机构地区：[1]广东培正学院计算机科学与工程系,广东广州510830

出　　处：《西北民族大学学报（自然科学版）》2014年第3期1-5,共5页Journal of Northwest Minzu University(Natural Science)

摘　　要：超度量空间中的不动点受到有关学者的广泛关注,获得了许多不动点定理并得到了推广和应用,文章在球完备的锥超度量空间中,运用空间的球完备性和Zorn引理,对一类非连续可交换的广义收缩映射不动点的存在与惟一性进行了研究,得到了非连续广义收缩映射的公共不动点定理,所得的结论推广和改进了超度量空间的相关结果.Fixed points in ultra metric spaces were widely concerned by scholars, many fixed points theorems which were promoted and applied. In cone uniqueness of fixed points for a class of paper, common fixed point theorems for ultra metric spaces, using ball complete properties and Zorn lemma noncontinuous commuting generalized contractive mapping were noncontinuous contraction mapping was obtained, which extend were obtained , existence and studied in this and promoted the results in ultra metric spaces.

关 键 词：锥超度量空间 不动点 收缩映射 

分 类 号：O177.37[理学—数学]