Year: 2023
Author: Shaoyuan Xu, Suyu Cheng, Yan Han
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 191–200
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/ 10.4208/ata.OA-2018-0022
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 191–200
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Strong $T$-stability Picard iteration non-normal cone cone metric space.