Strong T-Stability of Picard Iteration in a Non-Normal Cone Metric Space  

作　　者：Shaoyuan Xu Suyu Cheng Yan Han 

机构地区：[1]School of Mathematics and Statistics,Hanshan Normal University,Chaozhou,Guangdong 521041,China [2]Library,Hanshan Normal University,Chaozhou,Guangdong 521041,China [3]School of Mathematics and Statistics,Zhaotong University,Zhaotong,Yunnan 657000,China

出　　处：《Analysis in Theory and Applications》2023年第2期191-200,共10页分析理论与应用（英文刊）

基　　金：supported by the Special Basic Cooperative Research Programs of Yunnan Provincial Undergraduate Universities’Association(grant No.202101BA070001-045);the Foundation of Major Basic Research Projects,Hanshan Normal University,China(No.ZD201807).

摘　　要：Let(X,d)be a cone metric space and T:X!X be a mapping.In this paper,we shall introduce the concept of strong T-stability of fixed point iteration procedures with respect to T in cone metric spaces.Also,we will investigate some meaningful results on strong T-stability of Picard iterations in cone metric spaces without the assumption of normality.Our main results improve and generalize some related results in the literature.

关 键 词：Strong T-stability Picard iteration non-normal cone cone metric space 

分 类 号：O186.1[理学—数学]