New Results on Generalized c-Distance Without Continuity in Cone b-Metric Spaces over Banach Algebras  

作　　者：Yan Han Shaoyuan Xu 

机构地区：[1]School of Mathematics and Statistics,Zhaotong University,Zhaotong,Yunnan 657000,China [2]School of Mathematics and Statistics,Hanshan Normal University,Chaozhou,Guangdong 521041,China

出　　处：《Analysis in Theory and Applications》2022年第3期335-350,共16页分析理论与应用（英文刊）

基　　金：partially supported by the Special Basic Cooperative Research Programs of Yunnan Provincial Undergraduate Universities'Association(grant No.202101BA070001-045).

摘　　要：In this work,some new fixed point results for generalized Lipschitz mappings on generalized c-distance in cone b-metric spaces over Banach algebras are obtained,not acquiring the condition that the underlying cone should be normal or the mappings should be continuous.Furthermore,the existence and the uniqueness of the fixed point are proven for such mappings.These results greatly improve and generalize several well-known comparable results in the literature.Moreover,some examples and an application are given to support our new results.

关 键 词：Cone b-metric spaces over Banach algebras generalized c-distance non-normal cone generalized Lipschitz mappings fixed point theorems 

分 类 号：O177.2[理学—数学]