Solving integro-differential equation in orthogonal partial b-metric spaces via simulation function
Abstract
In our research, we delve into exploring the presence and singular nature of a stable point amidst nearly orthogonal almost Z-contractions, facilitated by simulation functions within fully developed orthogonal partial b-metric spaces, employing orthogonal (ˆ∝, ˆβ)-admissibility. Additionally, we provide demonstrative instances to substantiate the outcomes. Moreover, we offer an application to integro-differential equations, thereby contributing to the expansion and enhancement of various prior studies in the field.
Copyright © 2024 Menaha Dhanraj, Arul Joseph Gnanaprakasam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Dhanraj, A. J. Gnanaprakasam, Solving integro-differential equation in orthogonal partial b-metric spaces via simulation function, Adv. Fixed Point Theory 14 (2024), 32. https://doi.org/10.28919/afpt/8606
BibTeX
@article{Dhanraj2024,
author = {Dhanraj, Menaha and Gnanaprakasam, Arul Joseph},
title = {Solving integro-differential equation in orthogonal partial b-metric spaces via simulation function},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {32},
doi = {10.28919/afpt/8606}
}