@article{Ali2023, 
author = {Amjad Ali and Muhammad Arshad and Eskandar Ameer and Asim Asiri},
title = {Certain new iteration of hybrid operators with contractive    M -dynamic relations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {20576-20596},
keywords = {hybrid operators, fixed point, M-dynamic iterative process M -metric space, multistage system, integral equation},
url = {https://www.sciopen.com/article/10.3934/math.20231049},
doi = {10.3934/math.20231049},
abstract = {This article investigates Wardowski's contraction in the setting of extended distance spaces known as    M-metric spaces using hybrid operators based an    M -dynamic iterative process. The main purpose is to observe new set-valued Chatterjea type common fixed point theorems for hybrid operators with respect to an    M-dynamic iterative process, i.e.,              D      ˇ        (      Ψ          1        ,      Ψ          2        ,      s          0        ). We realize an application: the existence of a solution for a multistage system and integral equation. Also, we give a graphical interpretation of our obtained theorems. The main results are explicated with the help of a relevant example. Some important corollaries are extracted from the main theorems as well.}
}