具有Banach代数的锥度量空间中c-距离下新不动点定理（英文）  

New Fixed Point Results on c-Distance in Cone Metric Spaces over Banach Algebras

作　　者：韩艳 许绍元 刘秀 HAN Yan;XU Shaoyuan;LIU Xiu(School of Mathematics and Statistics,Zhaotong University,Zhaotong 657000,China;School of Mathematics and Statistics,Hanshan Normal University, Chaozhou 521041,China)

机构地区：[1]昭通学院数学与统计学院,云南昭通657000 [2]韩山师范学院数学与统计学院,广东潮州521041

出　　处：《应用数学》2019年第1期212-221,共10页Mathematica Applicata

基　　金：Supported by Yunnan Applied Basic Research Projects(2016FD082);Scientific Research Fund of Yunnan Provincial Education Department(2017ZZX078)

摘　　要：本文在不要求满足映射的连续性和锥的正规性的条件下,得到具有Banach代数的锥度量空间中c-距离下的有关推广的Lipchitz型映射的不动点和公共不动点定理,改进并扩展了文献中已有的结果,同时举例论证了所得结果.而且,通过解决一个积分方程的解的存在性和唯一性问题,给出了本文结果的重要应用.The purpose of this paper is to obtain several fixed point and common fixed point results for generalized Lipschitz mappings on c-distance in cone metric spaces over Banach algebras, without the assumption that the underlying cone is normal or the mappings are continuous. These results greatly improve and extend several well-known comparable results in the literature. Moreover, some examples are given to support our new results. Furthermore, an application to the existence and uniqueness of a solution to a class of integral equation is also given.

关 键 词：具有Banach代数的锥度量空间 c-距离 推广的Lipschitz映射 非正规锥 不动点 

分 类 号：O177.91[理学—数学]