@article{Han2024, 
author = {Yan Han and Shaoyuan Xu and Jin Chen and Huijuan Yang},
title = {Fixed point theorems for    b-generalized contractive mappings with weak continuity conditions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {15024-15039},
keywords = {fixed point, Kannan type contraction, asymptotic regularity, weak orbital continuity, k-continuity},
url = {https://www.sciopen.com/article/10.3934/math.2024728},
doi = {10.3934/math.2024728},
abstract = {The purpose of this paper was to introduce several    b-generalized contractive mappings in the framework of cone    b-metric spaces over Banach algebras. The obtained contractions generalized and extended the counterparts in metric spaces, cone metric spaces, and    b-metric spaces. Moreover, via weakening the completeness of the spaces, we gave some fixed point theorems for asymptotically regular mappings without considering the orbital continuity and    k-continuity of the mappings. Those who need a specification is our results do not rely on the continuity of    b-metric and the normality of cones. In addition, some nontrivial examples were presented to illustrate the superiority of our fixed point theorems.}
}