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This paper is concerned with the study of the fixed points of set-valued contractions on ordered g-metric spaces. The first part of the paper deals with the existence of fixed points for these mappings where the contraction condition is assumed for comparable variables. A coupled fixed point theorem is also established in the second part. [ABSTRACT FROM AUTHOR]

The stress – strength model is one of the models that are used to compute reliability. In this paper, we derived mathematical formulas for the reliability of the stress – strength model that follows Rayleigh Pareto (Rayl. – Par) distribution. Here, the model has a single component, where strength Y is subjected to a stress X, represented by moment, reliability function, restricted behavior, and ordering statistics. Some estimation methods were used, which are the maximum likelihood, ordinary least squares, and two shrinkage methods, in addition to a newly suggested method for weighting the contraction. The performance of these estimates was studied empirically by using simulation experimentation that could give more varieties for different-sized samples for stress and strength. The most interesting finding indicates the superiority of the proposed shrinkage estimation method. [ABSTRACT FROM AUTHOR]

This paper aims to define and study new separation axioms based on the b-open sets in topological ordered spaces, namely strong b-Ti-ordered spaces(i=0,1,2). These new separation axioms are lying between strong Ti-ordered spaces and b-Ti- spaces (i=0,1,2). The implications of these new separation axioms among themselves and other existing types are studied, giving several examples and counterexamples. Also, several properties of these spaces are investigated; for example, we show that the property of strong b-Ti-ordered spaces (i=0,1,2) is an inherited property under open subspaces. [ABSTRACT FROM AUTHOR]

Hausman and Shapiro gave an estimate for the number of practical numbers to be 0(x ⁄(logx)β ) for every positive β<1/2 ( 1/log2 -1)². In this paper, we generalize Hausman and Shapiro bound by proving the number of t-practical numbers n (n ≤x ), ( t ≥1 ) to be 0(x ⁄(logx)β ) for every positive β<1/2 ( 1/log2 -1)², and 1≤t≤exp.(( logx ) δ1 ) for any δ1 satisfying 0< δ1 <1-1(1 +√2 β) log2 . We mean by the t-practical number n, the number in which every integer 1≤m≤tn is of the form m= ∑ d/n cd d, 0 ≤ cd≤ t [ABSTRACT FROM AUTHOR]

In this paper, we introduce and study the notions of fuzzy quotient module, fuzzy (simple, semisimple) module and fuzzy maximal submodule. Also, we give many basic properties about these notions. [ABSTRACT FROM AUTHOR]

In this paper, we propose a new approach of regularization for the left censored data (Tobit). Specifically, we propose a new Bayesian group Bridge for leftcensored regression ( BGBRLC). We developed a new Bayesian hierarchical model and we suggest a new Gibbs sampler for posterior sampling. The results show that the new approach performs very well compared to some existing approaches. [ABSTRACT FROM AUTHOR]

In this paper, we offer and study a novel type generalized soft-open sets in topological spaces, named soft Ƅc-open sets. Relationships of this set with other types of generalized soft-open sets are discussed, definitions of soft Ƅ , soft bc- closure and soft bc- interior are introduced, and its properties are investigated. Also, we introduce and explore several characterizations and properties of this type of sets. Keywords: soft Ƅ-open set, soft Ƅc-open set, soft Ƅc- nbd, soft Ƅc-interior, soft Ƅcclosure. [ABSTRACT FROM AUTHOR]

In this paper, the blow-up solutions for a parabolic problem, defined in a bounded domain, are studied. Namely, we consider the upper blow-up rate estimate for heat equation with a nonlinear Neumann boundary condition defined on a ball in . [ABSTRACT FROM AUTHOR]

The following question was raised by L.Fuchs: "what are the subgroups of an abelian group G that can be represented as intersections of pure subgroups of G ? . Fuchs also added that “One of my main aims is to give the answers to the above question". In this paper, we shall define new subgroups which are a family of the pure subgroups. Then we shall answer problem 2 of L.Fuchs by these semi-pure subgroups which can be represented as the intersections of pure subgroups. [ABSTRACT FROM AUTHOR]

In this paper we investigate the use of two types of local search methods (LSM), the Simulated Annealing (SA) and Particle Swarm Optimization (PSO), to solve the problems 1//( ΣCj,ΣEj) and .1//Σ Cj+ΣEjThe results of the two LSMs are compared with the Branch and Bound method and good heuristic methods. This work shows the good performance of SA and PSO compared with the exact and heuristic methods in terms of best solutions and CPU time. Keywords: Machine Scheduling Problem, Multiple Objective Functions, Simulated Annealing, Particle Swarm Optimization [ABSTRACT FROM AUTHOR]

In this paper, by using the Banach fixed point theorem, we prove the existence and uniqueness theorem of a fractional Volterra integral equation in the space of Lebesgue integrableL1(R+) on unbounded interval [0,∞). [ABSTRACT FROM AUTHOR]

Let R be a ring with 1 and D is a left module over R . In this paper, we study the relationship between essentially small quasi-Dedekind modules with scalar and multiplication modules. We show that if D is a scalar small quasi-prime R-module, thus D is an essentially small quasi-Dedekind R- module. We also show that if D is a faithful multiplication R-module, then D is an essentially small prime R-module iff is R an essentially small quasi- Dedekind ring [ABSTRACT FROM AUTHOR]

The approach given in this paper leads to numerical methods to find the approximate solution of volterra integro -diff. equ.1st kind. First, we reduce it from integro VIDEs to integral VIEs of the 2nd kind by using the reducing theory, then we use two types of Non-polynomial spline function (linear, and quadratic). Finally, programs for each method are written in MATLAB language and a comparison between these two types of Non-polynomial spline function is made depending on the least square errors and running time. Some test examples and the exact solution are also given. [ABSTRACT FROM AUTHOR]

This paper focuses on developing a strategy to represent the -connected ominoes using an abacus. We use the idea of -connected ominoes with respect to a frame in modelling nested chain abacus. Then, we formulate and prove the unique connected partition for any -connected ominoes. Next, the topological structure of nested chain abacus is presented. [ABSTRACT FROM AUTHOR]

In this paper, the series solution is applied to solve third order fuzzy differential equations with a fuzzy initial value. The proposed method applies Taylor expansion in solving the system and the approximate solution of the problem which is calculated in the form of a rapid convergent series; some definitions and theorems are reviewed as a basis in solving fuzzy differential equations. An example is applied to illustrate the proposed technical accuracy. Also, a comparison between the obtained results is made, in addition to the application of the crisp solution, when the a-level equals one. [ABSTRACT FROM AUTHOR]

The aim of this paper is to investigate the theoretical approach for solvability of impulsive abstract Cauchy problem for impulsive nonlinear fractional order partial differential equations with nonlocal conditions, where the nonlinear extensible beam equation is a particular application case of this problem. [ABSTRACT FROM AUTHOR]

In this paper, we introduce weak and strong forms of ω-perfect mappings, namely the q-ω-perfect, weakly q-ω-perfect and stronglyq-ω-perfect mappings. Also, we investigate the fundamental properties of these mappings. Finally, we focused on studying the relationship between weakly q-ω-perfect and stronglyq -ω- perfect mappings. [ABSTRACT FROM AUTHOR]

The aim of this paper is to employ the fractional shifted Legendre polynomials (FSLPs) in the matrix form to approximate the fractional derivatives and find the numerical solutions of the one-dimensional space-fractional bioheat equation (SFBHE). The Caputo formula was utilized to approximate the fractional derivative. The proposed methodology applied for two examples showed its usefulness and efficiency. The numerical results showed that the utilized technique is very efficacious with high accuracy and good convergence. [ABSTRACT FROM AUTHOR]

In this paper, we study the impacts of variable viscosity , heat and mass transfer on magneto hydrodynamic (MHD) peristaltic flow in a asymmetric tapered inclined channel with porous medium . The viscosity is considered as a function of temperature. The slip conditions at the walls were taken into consideration. Small Reynolds number and the long wavelength approximations were used to simplify the governing equations. A comparison between the two velocities in cases of slip and no-slip was plotted. It was observed that the behavior of the velocity differed in the two applied models for some parameters. Mathematica software was used to estimate the exact solutions of temperature and concentration profiles. The resolution of the equations to the momentum was based on the perturbation method to find the axial velocity, pressure gradient and trapping phenomenon. The influences of the various flow parameters of the problem on these distributions were debated and proved graphically by figures. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and study the concepts of hollow – J–lifting modules and FI – hollow – J–lifting modules as a proper generalization of both hollow–lifting and J–lifting modules . We call an R–module M as hollow – J – lifting if for every submodule N of M with M/N is hollow, there exists a submodule K of M such that M = K⊕Ḱ and K⊆JceN in M . Several characterizations and properties of hollow –J–lifting modules are obtained . Modules related to hollow – J–lifting modules are given . [ABSTRACT FROM AUTHOR]

Let W be a unitary left R-module on associative ring R with identity. A submodule F of W is called R-annihilator small if F+T=W, where T is a submodule of W, implies that ann(T)=0, where ann(T) indicates annihilator of T in R. In this paper, we introduce the concepts of R-annihilator-coessential and R- annihilator - coclosed submodules. We give many properties related with these types of submodules. [ABSTRACT FROM AUTHOR]

In this paper, we show that each soft topological group is a strong small soft loop transfer space at the identity element. This indicates that the soft quasitopological fundamental group of a soft connected and locally soft path connected space, is a soft topological group. [ABSTRACT FROM AUTHOR]

In this paper we investigate the stability and asymptotic stability of the zero solution for the first order delay differential equation þ(t)=-ΣNj=1(t)y(t-τj(t))+f(t,y(t-964;(t)) where the delay is variable and by using Banach fixed point theorem. We give new conditions to ensure the stability and asymptotic stability of the zero solution of this equation. [ABSTRACT FROM AUTHOR]

Let M be an R-module, where R be a commutative;ring with identity. In this paper, we defined a new kind of submodules, namely; ET-coessential and ETCoclosed submodules of M. Let T be a submodule of M. Let K ⩽ H ⩽ M, K is called ET-Coessential of H in M (K⊆ET.ce H), if H/K «E(T+K/K)M/K . A submodule H is called ET- coclosed in M of H has no proper coessential submodule in M, we denote by (K⊆ET.cc H), that is, K⊆ET.ce H implies that K = H. In our work, we introduce;some properties of ET-coessential and ET-coclosed submodules of M. [ABSTRACT FROM AUTHOR]

In this paper we introduce the definition of Lie ideal on inverse semiring and we generalize some results of Herstein about Lie structure of an associative rings to inverse semirings . [ABSTRACT FROM AUTHOR]

Let R be a commutative ring with identity, and I a fixed ideal R of and M be an unitary R-module. In this paper we introduce and study the concept of I-nearly prime submodules as genrealizations of nearly prime and we investigate some properties of this class of submodules. Also, some characterizations of I-nearly prime submodules will be given. [ABSTRACT FROM AUTHOR]

Gangyong Lee, S.Tariq Rizvi, and Cosmin S.Roman studied Rickart modules. The main purpose of this paper is to develop the properties of Rickart modules . We prove that each injective and prime module is a Rickart module. And we give characterizations of some kind of rings in term of Rickart modules. [ABSTRACT FROM AUTHOR]