The present paper aims to define three new notions: Θ e-contraction, a Hardy–Rogers-type
Θ-contraction, and an interpolative Θ-contraction in the framework of extended b-metric …

In this article, in the sequel of extending b-metric spaces, we modify controlled metric type
spaces via two control functions α (x, y) and μ (x, y) on the right-hand side of the b-triangle …

This paper involves complex valued versions of Riemann-Liouville integral, Atangana-
Baleanu integral operator and non-linear Telegraph equation. Under various suitable …

This manuscript aims to analyze the chaotic fluid layer heating from below, using the
Atangana–Baleanu derivative to characterize the existence and uniqueness of this chaotic …

In this paper, we initiate the notion of generalized multivalued (α K*, Υ, Λ)-contractions and
provide some new common fixed point results in the class of α K-complete partial b-metric …

In this paper, by characterizing a weak contractive condition based on using C− functions
and α− admissible multi-valued map** of type S, we present some fixed point results for …

In this paper, we initiate the notion of Ćirić type rational graphic Υ, Λ-contraction pair
map**s and provide some new related common fixed point results on partial b-metric …

In this article, we introduce an extended F-metric and proved related fixed point results.
Subsequently, we mainly focus on (a): Solution for the Atangana-Baleanu fractional integral …

In this paper, we consider a new distance structure, extended Branciari b-distance, to
combine and unify several distance notions and obtain fixed point results that cover several …

In this manuscript, some fixed point results for generalized contractive type map**s under
mild conditions in the setting of double controlled metric spaces (in short, η ℷ ν η_\gimel^ν …