Existence and uniqueness of approximate quartic reciprocal mappings

Document Type : Original Article

Authors

1 Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, C. Abdul Hakeem College of Engineering and Technology, Melvisharam - 632 509, Tamil Nadu, India

Abstract

We present a novel form of quartic reciprocal functional equations in this work. The intriguing fact that harmonic points arise in projective geometry inspired our work to examine this new equation. The stability of this equation is established using the fixed point method. Additionally, several upper bounds are considered to produce stability results. As an application of this equation, it is connected to the Rayleigh scattering formula. The arguments of this equation are connected to harmonic points at the conclusion of this research.

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References

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