In this manuscript, we extend the notion of generalized cyclic weak φ-contractions to p sets, p ≥ 2. We investigate the convergence of best proximity points of such maps in p-cyclic complete metric spaces. We also give an example to support our main results. Our works generalize and improve the related results in the literature.

In this paper, we use the concept of C-class functions to establish the best proximity point results for a certain class of proximal contractive mappings in S-metric spaces. Our results extend and improve some known results in the literature. We give examples to analyze and support our main results.

In this manuscript, we establish a coincidence point and a unique common fixed point theorem for \((\psi ,\varphi )\)-weak cyclic compatible contractions. We also present a fixed point theorem for a class of Λ-weak cyclic compatible contractions via altering distance functions. Our results extend and improve some well-known results in the literature. We provide examples to analyze and illustrate our main results.

In this manuscript, we establish best proximity point results for some cyclic contraction maps. We discuss the existence and convergence of best proximity point results for such maps in CAT(0) spaces.