A fixed point of a constrained problem of state-dependent functional equation
Abstract
Our main objective in this paper is to prove the existence of a unique solution (fixed point) of a constrained problem of a state-dependent functional equation constrained by its conjugate. The continuous dependence of the solution will be proved. The Hyres-Ulam stability of our problem will be studied.
Copyright © 2024 Ahmed M.A. El-Sayed, Eman M. Al-Barg, Hanaa R. Ebead. 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
A. M. A. El-Sayed, E. M. Al-Barg, H. R. Ebead, A fixed point of a constrained problem of state-dependent functional equation, Adv. Fixed Point Theory 14 (2024), 63. https://doi.org/10.28919/afpt/8601
BibTeX
@article{El-Sayed2024,
author = {El-Sayed, Ahmed M.A. and Al-Barg, Eman M. and Ebead, Hanaa R.},
title = {A fixed point of a constrained problem of state-dependent functional equation},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {63},
doi = {10.28919/afpt/8601}
}