General Letters in Mathematics

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Existence and Regularity Results for the Stokes System with Mixed Boundary Conditions

Mourad Dilmi , Hamid. Benseridi

In this paper we consider the nonlinear boundary value problem governed by a stationary perturbed Stokes system with mixed boundary conditions ( Dirichlet-Fourier- maximal monotone graph), in a smooth domain. The existence and regularity of the weak solution to this problem are proved. Our approach is ...

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Global Properties of the Solution of the Einstein-Maxwell-Boltzmann-Scalar Field System with Pseudo-Tensor of Pressure on a Bianchi Type I Space-Time

Noutchegueme Norbert , Dongo David , Djiofack Francis Etienne

In this paper, we study the asymptotic behaviour, the geodesic completeness and the energy condition for the coupled Einstein-Maxwell-Boltzmann-Massive scalar field system with pseudo-tensor of pressure in the sources which rules the dynamincs of kind of charged pure matter in the presence of a massive ...

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Regularized Minimization of Convex Functions in Radon Nikodym Space

Nourddin SAIDOU , Mhamed ZINEDDINE , Bouchaib Ferrahi

Convex non linear optimization problems may not have a solution in innite dimension spaces. The aim of this paper is to formulate some new results in this topic by using "technical regularization" of the objective function. The rst result shows that a non linear convex proper lower semi-continuous ...

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Sequence Spaces Defined by Fibonacci Matrix

M. K¨UC¸ ¨UKASLAN , B. ARIS

In this paper, by using well known Fibonacci numbers, so far not described in the literature a new regular matrix F = (fnk) is defined and compared with well known matrix transformations. By using this new matrix, Fibonacci sequence space c0(F), c(F), l∞(F) and lp(F) (1 ≤ p < ∞) are ...

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Regular Solution for the Generalized Relativistic Boltzmann Equation in Yang-Mills Field

Dongo David , Noutchegueme Norbert , Nguelemo Kenfack Abel

We consider in this work the generalized relativistic Boltzmann equation in the presence of a Yang-Mills field in temporal gauge on a Bianchi type 1 space-time. Such an equation governs the evolution which collisions of plasmas, for instance of quarks and gluons (quagma), where non abelian Yang-Mills ...

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Cartesianization of Complex Forms in Saidou’ Spaces

Nourddin Saidou

In this work, we propose to define a new space that will be called locally Cartesian space (Saidou’Spaces). It is a space defined by a new topology whose fundamental system of neighborhood are compact cartesian subsets, theses subsets were already defined during our previous work, “Geometrical ...

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Comparison of Some Group Variable Selection Methods in High Dimensional Multiple Linear Regression via Simulation Study

Rejin Abdulqader Ibrahim , Hussein Abdulrahman Hashem

In many applications, covariates possess a grouping structure that can be incorporated into the analysis to select important groups as well as important members of those groups. In this paper, we reviewed some group variable selection methods in the penalized regression model. This paper investigates ...

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A Novel View of Regular and Normal Spaces via Nano Sβ-Open Sets in Nano Topological Spaces

Nehmat K. Ahmed , Osama T. Pirbal

In this present study, we shed light on some separation axioms via nano Sβ-open sets including nano S*β-regular and nano S*β-normal spaces (axioms) in nano topological spaces where nano Sβ-open set is defined and related to nano semi-open and nano β-closed sets. Here, we implement ...

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