Fixed Point Results for Generalized Contraction with Application of Biomedical Sciences
Keywords:Common fixed point theorems, Orthogonal metric spaces (OMS), Orthogonal Θ-contraction, Orthogonal Θ_g-weak contraction, Orthogonal Ψ_g-weak JS-contraction
In this article, we find the fixed point, fixed ellipse, and fixed elliptic disc theorems, we introduce the concepts of an orthogonal -contraction, an orthogonal -weak contraction, an orthogonal -weak JS-contraction, an integral-type orthogonal -weak contraction, and an integral-type orthogonal -weak JS-contraction. To further prove the validity of the postulates, we validate these using illustrated cases with geometric meanings. The reason for this work is the possibility of a geometric shape like a circle, ellipse, disc, or elliptic disc being among the set of non-unique fixed points. We provide an orthogonal -contraction application to chemical sciences.