@article{Guan2024, 
author = {Hongyan Guan and Jinze Gou and Yan Hao},
title = {On some weak contractive mappings of integral type and fixed point results in    b-metric spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {4729-4748},
keywords = {fixed point, contractive mapping of integral type, θ-weak contraction, θ-ψ-weak contraction, b-metric},
url = {https://www.sciopen.com/article/10.3934/math.2024228},
doi = {10.3934/math.2024228},
abstract = {In the article, we considered the fixed point problem for contractive mappings of integral type in the setting of    b-metric spaces for the first time. First, we introduced the concepts of    θ-weak contraction and    θ-   ψ-weak contraction. Second, the existence and uniqueness of fixed points of contractive mappings of integral type in    b-metric spaces were studied. Meanwhile, two examples were given to prove the feasibility of our results. As an application, we proved the solvability of a functional equation arising in dynamic programming.}
}