Volume 22 – Issue 4

In this paper, we present a method for finding the zero of the sum of finite family of maximal monotone operators on real Hilbert spaces. In the case where the number of maximal monotone operators is three, we define a function such that its fixed points are solutions of our problem. Some illustrative examples are given at the end of this paper.

In this paper, we introduce statistical bounded sets on topological vector space. Also, we give the three notions of bounded operators from topological vector spaces to ordered topological vector spaces. Moreover, we show some relations between these operators and order bounded operators. Also, we give some algebraic properties of these operators with respect to the uniform convergence topology.

In the case of response missing at random conditioned by a functional explanatory variable, this research investigates non parametric estimate of the conditional quantile using the kernel approach. Under an α-mixing assumption and properties of the small ball, we establish the uniform almost complete convergence (with rate) of the proposed estimator.

In this article, we introduce modules with the property Radg and provide various properties of this module. Firstly, we prove that every semisimple module has the property Radg. We also indicate that the class of modules with the property Radg is closed under finite direct sum and direct summands. Moreover, we define the concepts of g –(radical) cover. We show that factor modules of a module with the property Radg have the property Radg under special condition. Additionally, we characterize semisimple commutative rings via modules with the property Radg.

This study investigates the process for estimating the mean number of individuals having rare sensitive attribute in stratified random sampling for known population using Poisson distribution. The properties of the suggested estimation procedures are deeply examined. Empirical studies are performed to support the theoretical results,which show the dominance of the proposed estimators over well-known existing estimators. The results are interpreted and suitable recommendations have been put forward to the survey practitioners.

In this article, new variety types of exact solution to the Fujimoto-Watanable- equation (FWE) that equivalent to the modified Korteweg- de Vries- equation have been derived. These new types of solutions which weren’t realized before by any other technique have been established in the framework of the Ricatti-Bernolli Sub-ODE method (RBSODM). Also, the identical numerical solutions whose initial conditions are emerged from the achieved exact solutions have been constructed by using the famous numerical variational iteration method (VIM).

The main objective of this paper is to estimate non-parametrically the quantiles of a conditional distribution based on the single-index model in the censorship model when the sample is considered as an independent and identically distributed (i.i.d.) random variables. First of all, a kernel type estimator for the conditional cumulative distribution function (cond-cdf) is introduced. Afterwards, we give an estimation of the quantiles by inverting this estimated cond-cdf, the asymptotic properties are stated when the observations are linked with a single-index structure. Finally, a simulation study is carried out to evaluate the performance of this estimate.

In this study, spinor representations of the curves on surfaces have been expressed via B-Darboux frame in Euclidean space E^3. The relation between Darboux and B-Darboux frame has been established according to their spinor formulations. Moreover, all these spinor characterizations have been interpreted in the meaning of Darboux frame (via the curvatures) in Euclidean 3-space. Finally, an application has been presented about the characterizations of the relations between the B-Darboux frame and the spinors.

The objective ofthis paper is to prove the existence, non-existence and the sign of convex and convex-concave solutions of the third-order non-linear differential equation f^”’+ff^”+βf^’ (f^’-1)=0, satisfying the boundary conditions f(0)=a∈R, f^’ (0)=b<0 and〖 f^’→λ as t→+∞ where λ Î{0,1} and β<0. The problematic arises in the study of the Mixed Convection Boundary Layer flow over a permeable vertical surface embedded in a Porous Medium according to the mixed convection parameter b<0, the permeable parameter aÎR and the temperature parameter β<0.

In the present study, we work on the Hasimoto surfaces in three-dimensional Euclidean space by using q-frame. Calculating the coefficients of fundamental forms, we present Gaussian and mean curvatures of these Hasimoto surfaces. Lastly, we find some characterization of parameter curves of these Hasimoto surfaces.

In this paper, by using the concepts of pseudoinverse matrix combining with coincidence degree theory due to Mawhin and constructing suitable operators, we study the existence of solutions for a nonlinear higher-order boundary value problem at resonance case in R^n. An illustrative example is presented at the end of the paper to illustrate the validity of our results.

This paper is investigated geometry of vector fields along spacelike curve with timelike normal vector by using anholonomic coordinates. Derivative formulas of FrenetSerret frame of the curve are stated which includes eight parameters. Surfaces with vanishing abnormality of normal direction in Minkowski space are examined. Intrinsic geometric properties of these spacelike surfaces are investigated. Finally, the relations between spacelike surfaces with vanishing abnormality of normal direction and NLS, Heisenberg spin equation are investigated as applications.

We inspect the compaction structure in a class of nonlinear dispersive conditions in this article. The compaction sort of lone waves free of exponential tails and width self-sufficient of abundance is formally created. We further set up particular examples of answers for the defocusing parts of these models.

In this paper, we consider some operators including symmetric functions. From those operators, we obtain the generating functions of -balancing numbers with some special numbers and Chebyshev polynomials.

The aim of this article is to give new generalized Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral for functions whose absolute values of third derivatives are s-convex in the second sense. In order to do that an integral identity for three times differentiable mapping involving fractional integral operators is established. Several consequences are then presented in some special cases.

The present research was designed to characterize the main components of ancient Egyptian wall reliefs of Meir rock tombs at Assiut of Egypt using severalµ-destructive analytical methods. The microscopic characterization included optical examination on painted surfaces and petrographic examination on thin sections of rock fractions. The morphology of pigments and their chemical structure were investigated by scanning electron microscopy and energy dispersive X-ray spectrometry (SEM-EDX). Fourier transform infrared spectroscopy (FTIR) was used for the investigation of the molecular composition of the render layer and the blue pigment. The mineralogical composition by X-ray diffractometry (XRD) helped to study the stone, underlying preparation layer, and some pigments. The results showed that the petrographic features of the rock samples are based mainly on fine calcite grains. The identified pigments were Egyptian blue (synthetic cuprorivaite), red ochre (iron oxides and clay minerals), and carbon black. While for the green colour, a mixture of Egyptian blue and yellow ochre was created. Since the materials used in the abovementioned tombs were never been previously analyzed, this research will be a valuable start for a future complex study related to painting materials used in the Meir necropolis of ancient Egypt.

The application of sewage sludge to agricultural land is an increasingly popular disposal route and it can be a valuable source of nutrients for crops. Soil properties such as texture, pH value, and ion exchange capacity, strongly influence the availability of trace metals to plants. This paper aims to determine the concentrations of heavy metals (Cd, Cr, Cu, Mn, Pb, and Zn) from wheat, grown in controlled conditions, using two analytical methods as Atomic Absorption Spectrometry (AAS) and Inductively Coupled Plasma Mass Spectrometry (ICP-MS). The analyzes were carried out at various stages of wheat grain growth and at different concentrations of sewage sludge/soil (0/100, 25/75, 50/50, 75/25, 100/0). The purpose of this paper is to present a method for valorizing sludge from sewage treatment plants, as well as the benefits that this method can have for the growth of cereals, while also looking at the influence and possible accumulation of heavy metals in this plant.