锥b-度量空间中广义c-距离下的不动点定理  

Fixed point theorems under generalized c-distance in cone b-metric spaces

作　　者：张慧芳 薛西锋 ZHANG Huifang XUE Xifeng(College of Mathematics, Northwest University, Xi＇an 710127, China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《西北大学学报（自然科学版）》2017年第5期632-638,共7页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省自然科学基金资助项目(2012JM1017)

摘　　要：在完备的锥b-度量空间中,利用迭代法研究了广义c-距离下两类扩张映射和压缩映射不动点的存在性问题,并且通过简化映射系数,得到了相关推论。所得结果改进并推广了锥度量空间中的相关结论,且给出了具体应用。In this paper,the existence of fixed point of two kinds of expanding mappings and contractive mappings in generalized c-distance is studied by constructing iterative sequence in perfect cone b-metric spaces,and relevant inferences are achieved by simplifying coefficient of the mappings. The results directly improve and generalize relevant theorems in cone metric spaces,and result in the concrete application.

关 键 词：锥b-度量空间 广义c-距离 不动点 

分 类 号：O177.91[理学—数学]