FIXED POINTS FOR FG(ξ; λ; θ)-GENERALIZED CONTRACTION WITH CG-CLASS FUNCTIONS IN bv(s)-METRIC SPACES

The primary aim of this study is to establish the existence of a fixed point for FG(ξ, λ, θ)-generalized contractions in the context of bv(s)-metric spaces. The obtained result extends various well-established findings in metric spaces, b-metric spaces, rectangular b-metric spaces, and bv(s) metric spaces. Our discoveries not only expand upon and consolidate existing results in C-class functions but also build upon several previous contributions in the literature. Furthermore, we delve into and elaborate on the recently introduced concept of CG-class functions, providing illustrative examples.