Fixed Point Results for Generalized 𝜃-Contraction

Abstract

Any two points are close together in a Θ-contraction by a factor of Θ. The function Δ is implied to be a contraction under this condition, but with a tighter bound on the contraction factor. In this paper, we introduce the notions of orthogonal Θ-contraction and orthogonal α−Θ-contraction and prove several fixed point results by utilizing these contraction mappings in the context of orthogonal metric spaces. Further, we provide several non-trivial examples to show the validity of our results.