D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by
introducing F-contractions in metric spaces. In the next ten years, a great number of …

The aim of the paper was to prove some new fixed point theorems, coincidence point
theorems and common fixed point theorems for multivalued F-contractions involving a binary …

We introduce a notion of a fixed ellipse to study the geometric properties of the set of
nonunique fixed points of a discontinuous self map and establish fixed ellipse theorems …

In this paper, we first introduce a new family of functions like an implicit function called Γ-
functions. Furthermore, we introduce a new concept of α-Γ F-fuzzy contractive map**s …

Using some fixed point theorems for contractive map**s, including α-γ-Geraghty type
contraction, α-type F-contraction, and some other contractions in F F-metric space, this …

In this manuscript, a class of generalized (ψ, α, β)‐weak contraction is introduced and some
fixed point theorems in the framework of b‐metric space are proved. The result presented in …

In this manuscript, the Korteweg-de Vries-Burgers (KdV-Burgers) partial differential equation
(PDE) is investigated under nonlocal operators with the Mittag-Leffler kernel and the …

Motivated by Gopal et al.(Acta Math. Sci. 36B (3): 1-14, 2016). We introduce the notion of α-
type F-contraction in the setting of modular metric spaces which is independent from one …

In this paper we study fractional initial value problems with Caputo–Fabrizio derivative which
involves nonsingular kernel. First we apply α-ℓ-contraction and α-type F-contraction …

The recurrence of outbreaks in cases of Ebola virus among African countries remains one of
the greatest issues of concern. Practices such as hunting or consumption of contaminated …