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

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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 as-sumption of normality.Our main results improve and generalize some related results in the literature.

Strong T-stabilityPicard iterationnon-normal conecone metric space

Shaoyuan Xu、Suyu Cheng、Yan Han

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School of Mathematics and Statistics,Hanshan Normal University,Chaozhou,Guangdong 521041,China

Library,Hanshan Normal University,Chaozhou,Guangdong 521041,China

School of Mathematics and Statistics,Zhaotong University,Zhaotong,Yunnan 657000,China

Special Basic Cooperative Research Programs of Yunnan Provincial Undergraduate Universities' AssociationFoundation of Major Basic Research Projects,Hanshan Normal University,China

202101BA070001-045ZD201807

2023

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

影响因子:0.111
ISSN:1672-4070
年,卷(期):2023.39(2)
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