In this paper, we introduce the notions of fuzzy $alpha$-Geraghty contraction type mapping and fuzzy $beta$-$varphi$-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known ...

In this paper, we introduce some new types of extended Geraghty contractions, called (?,?)-admissible generalized F-contractions, and prove fixed point results for such contractions in the setting partial b-metric spaces. Moreover, based on obtained property symmetry, inaugurate a result graphic F-contractions defined metric spaces endowed with directed graph. As an application, examine existen...

In this paper, we introduce a new class of mappings called “generalized β-ϕ-Geraghty contraction-type mappings”. We use our to formulate and prove some coupled fixed points in the setting partially ordered metric spaces. Our results generalize unite several findings known literature. also provide examples support illustrate theoretical results. Furthermore, apply discuss existence uniqueness so...

In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions Geraghty type. Additionally, in 2021, Beg concept generalized F-proximal contraction first kind and second kind, respectively. After developing these concepts, authors mainly studied best proximity points for classes mappings. this short note, we prove that problem existence said proximal is equivalent to ...