TY - JOUR
T1 - Strong $T$-Stability of Picard Iteration in a Non-Normal Cone Metric Space
AU - Xu , Shaoyuan
AU - Cheng , Suyu
AU - Han , Yan
JO - Analysis in Theory and Applications
VL - 2
SP - 191
EP - 200
PY - 2023
DA - 2023/06
SN - 39
DO - http://doi.org/ 10.4208/ata.OA-2018-0022
UR - https://global-sci.org/intro/article_detail/ata/21823.html
KW - Strong $T$-stability, Picard iteration, non-normal cone, cone metric space.
AB - <p style="text-align: justify;">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.</p>