@article{Ramaswamy2024, 
author = {Rajagopalan Ramaswamy and Gunaseelan Mani},
title = {Application of fixed point result to solve integral equation in the setting of graphical Branciari  ℵ-metric spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {32945-32961},
keywords = {Branciari ℵ-metric space, graphical Branciari ℵ-metric space, Ω-Q-contraction},
url = {https://www.sciopen.com/article/10.3934/math.20241576},
doi = {10.3934/math.20241576},
abstract = {In this present paper, we introduce graphical Branciari  ℵ-metric space and prove the fixed point theorem for  Ω- Q-contraction on complete graphical Branciari  ℵ -metric spaces. Our result has been supplemented with suitable, non trivial examples. We have applied the derived fixed point result to solve non-linear Fredholm integral equations and fractional differential equation.}
}