@Article{ATA-39-191, author = {Xu , ShaoyuanCheng , Suyu and Han , Yan}, title = {Strong $T$-Stability of Picard Iteration in a Non-Normal Cone Metric Space}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/ 10.4208/ata.OA-2018-0022}, url = {http://global-sci.org/intro/article_detail/ata/21823.html} }