Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications.

We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in proving the existence and uniqueness of solution of nonlinear Barbashin-type integrodifferential equation satisfying a given initial value problem in modular metric space .

Photonics and fracture toughness of heterogeneous composite materials.

Fracture toughness measures the resistance of a material to fracture. This fundamental property is used in diverse engineering designs including mechanical, civil, materials, electronics and chemical engineering applications. In spite of the advancements made in the past 40 years, the evaluation of this remains challenging for extremely heterogeneous materials such as composite concretes.

Molecular dynamics simulation of Anatase TiO2 nanoparticles.

Nanoparticles, which are desirable to a wide range of industries, have been shown to exhibit enhanced properties compared to their bulk counterparts. This enhancement has mostly been attributed to their large surface area-to-volume ratio and has attracted huge research interest in recent years. In this work, molecular dynamics simulations have been performed on anatase TiO2 nanoparticles with sizes ranging between 2 and 6 nm and at different temperatures.

Lower limb amputations at a Nigerian private tertiary hospital.

Background: Lower Limb amputation remains one of the commonest surgical procedures. The incidence is on the rise in Nigeria due mainly to increasing motorcycle accidents and increased prevalence of uncontrolled diabetes complicated by neuropathy, vasculopathy and diabetic foot gangrene.

Objective: To determine the pattern and outcome of lower limb amputations in a private tertiary setting.