锥度量空间中c-距离下的不动点定理  

Fixed point results under c-distance in cone metric spaces

作　　者：韩艳[1] 张建元[1] 

机构地区：[1]昭通学院数学与统计学院,云南昭通657000

出　　处：《纯粹数学与应用数学》2015年第6期581-587,共7页Pure and Applied Mathematics

基　　金：云南省教育厅科学研究基金(2013Y578)

摘　　要：在锥度量空间中,用压缩性函数代替具体实数,获得了c-距离下的映射的新的不动点定理.所得结果在条件上不要求映射的非减性,且第一个定理去掉了锥的正规性,第二个定理去掉了映射的连续性,改进了原有的许多重要结论,并给出了相应的例子.In this paper, some fixed point results for c-distance in cone metric spaces by replacing the constants in contractive conditions with functions are obtained. The results without appealing to nondecreasing in the condition. Furthermore, we delete the normal cone in the first theorem and the continuity of the mappings in the second theorem. The results generalize and improve some well-known comparable results. Some supporting examples are given.

关 键 词：锥度量空间 c-距离 不动点 

分 类 号：O177.91[理学—数学]