Hassen Aydi

-Meir-Keeler Contraction Mappings in Generalized -Metric Spaces

We present a fixed point theorem for generalized -Meir-Keeler type contractions in the setting of generalized -metric spaces. The presented results improve, generalize, and unify many existing famous results in the corresponding literature.

Fixed Point Theorems in Generalized b-Metric Spaces

In the paper we present fixed point theorems in generalized b-metric spaces both for linear and nonlinear contractions, generalizing several existing results.

A Suzuki-type multivalued contraction on weak partial metric spaces and applications

Based on a recent paper of Beg and Pathak (Vietnam J.xa0Math. 46(3):693–706, 2018), we introduce the concept of Hq+

Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ -Caputo fractional derivative

mathcal{H}_{q}^{+}

On Strong Coupled Coincidence Points of -Couplings and an Application

-type Suzuki multivalued contraction mappings. We establish a fixed point theorem for this type of mappings in the setting of complete weak partial metric spaces. We also present an illustrated example. Moreover, we provide applications to axa0homotopy result and to an integral inclusion of Fredholm type. Finally, we suggest open problems for the class of 0-complete weak partial metric spaces, which is more general than complete weak partial metric spaces.

Nemytzki-Edelstein-Meir-Keeler Type Results in -Metric Spaces

AbstractA Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem nttt(CDaα,ψu)(x)+f(x,u(x))=0,a<x<b,u(a)+u(b)=0,u′(a)+u′(b)=0,

A Suzuki fixed point theorem for generalized multivalued mappings on metric-like spaces

begin{aligned} & bigl({}^{C}D_{a}^{alpha,psi}u bigr) (x)+f bigl(x,u(x) bigr)=0,quad a< x< b, &u(a)+u(b)=0,qquad u(a)+u(b)=0, end{aligned}

Well Posedness of A Common Coupled Fixed Point Problem

where (a,b)∈R2