A fixed point of a constrained problem of state-dependent functional equation

Ahmed M.A. El-Sayed, Eman M. Al-Barg, Hanaa R. Ebead

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.

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Published: 2024-11-11

How to Cite this Article:

Ahmed M.A. El-Sayed, Eman M. Al-Barg, Hanaa R. Ebead, A fixed point of a constrained problem of state-dependent functional equation, Adv. Fixed Point Theory, 14 (2024), Article ID 63

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.

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