Journal of Mahani Mathematical Research Center
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On the existence of subspacediskcyclic $C_{0}$semigroups and some criteria
(20230501)In this paper, we prove the existance of subspacediskcyclic $C_{0}$semigroups on any infinitedimensional separable Banach space. We state that diskcyclic $C_{0}$semigroups are subspacediskcyclic. Also, we establish ...

Matrix Representation of BiPeriodic Pell Sequence
(20230501)In this study, a generalization of the Pell sequence called biperiodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the biperiodic Pell matrix sequence whose entries are biperiodic ...

A mathematical model of a diphtheria outbreak in Rohingya settlement in Bangladesh
(20230501)In this paper, we study the dynamics of the diphtheria outbreak among the immunocompromised group of people, the Rohingya ethnic group. Approximately 800,000 Rohingya refugees are living in the Balukhali refugee camp in ...

On Rees Factor $\mathbf{S}$Posets Satisfying Conditions $\mathbf{(PWP_{E})}$ or $\mathbf{(PWP_E)_{w}}$
(20230501)Golchin and Rezaei introduced conditions $(PWP)$ and\linebreak $(PWP)_{w}$ in (Subpullbacks and flatness properties of $S$posets). In this paper, we introduce conditions $(PWP_{E})$ and $(PWP_{E})_{w}$ as generalizations ...

Periodic oscillation for a class delayed economic model
(20230501)A five coupled KaldorKalecki economic model with one delay appeared in the literature, in which the periodic solution of the model was verified by numerical analysis. The periodic solution is an important characteristic ...

Implementation of EM algorithm based on nonprecise observations
(20230501)The EM algorithm is a powerful tool and generic useful device in a variety of problems for maximum likelihood estimation with incomplete data which usually appears in practice. Here, the term ``incomplete" means a general ...

Automatic continuity of multiplicative polynomial operators
(20230501)This paper deals with the automatic continuity of multiplicative polynomial operators on a class of topological algebras. Several results are derived in this direction. We also support our results by some examples.

Classes of $F$hyperideals In A Krasner $F^{(m,n)}$Hyperring
(20230501)Krasner $F^{(m,n)}$hyperrings were introduced and investigated by Farshi and Davvaz. In this paper, our purpose is to define and characterize three particular classes of $F$hyperideals in a Krasner $F^{(m,n)}$hyperring, ...

New generalization of the best proximity point problem
(20230501)Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$, for mappings $T,f:C\cup ...

Jensen’s inequality and tgsconvex functions with applications
(20230501)In recent years, many researches have been done on the tgsconvex functions and their applications. In this article, we present some properties of the tgsconvex functions by interesting examples. Then we investigate the ...

Quantitative and stability study of the evolution of a viscoelastic body
(20230501)This paper deals with a generalization of the model describing the evolution of a linear viscoelastic body studied by Kirane M. and B.S. Houari in 2011. We prove the existence and uniqueness of the solution of the model ...

A Subclass of biunivalent functions by Tremblay differential operator satisfying subordinate conditions
(20230501)In this paper, we introduce a newly defined subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of biunivalent functions by using the Tremblay differential operator satisfying subordinate conditions in the ...

Some criteria for solvability and supersolvability
(20230501)Denote by $ G $ a finite group, by $ {\rm hsn}(G) $ the harmonic mean Sylow number (eliminating the Sylow numbers that are one) in $G$ and by $ {\rm gsn}(G) $ the geometric mean Sylow number (eliminating the Sylow ...

On the graphs with distinguishing number equal list distinguishing number
(20230501)The distinguishing number $D(G)$ of a graph $G$ is the least integer $d$ such that $G$ has an vertex labeling with $d$ labels that is preserved only by the trivial automorphism. A list assignment to $G$ is an assignment ...

Twostage and modified twostage estimation in threshold firstorder autoregressive process
(20230501)In this paper, we discuss the twostage and the modified twostage procedures for the estimation of the threshold autoregressive parameter in a firstorder threshold autoregressive model (${\rm TAR(1)}$). This is motivated ...

Gorenstein $n$weak injective and Gorenstein $n$weak flat modules under excellent extensions
(20230501)Let $R$ be an associative ring and let $n$ be a nonnegative integer. In this paper, we consider $n$super finitely presented, Gorenstein $n$weak injective and Gorenstein $n$weak flat modules under change of rings. ...

On multiplication $fs$modules and dimension symmetry
(20230501)In this paper, we first study $fs$modules, i.e., modules with finitely many small submodules. We show that every $fs$module with finite hollow dimension is Noetherian. Also, we prove that an $R$module $M$ with finite ...

Generalizations of Banach's contraction principle and Kannan and Chatterjea's theorems for cyclic and noncyclic mappings
(20230501)Two interesting extensions of Banach contraction principle to mappings that don't to be continuous, are Kannan and Chatterjea's theorems. Before this, in the cyclical form, extensions of these two theorems and ...

Twosided sgutmajorization and its linear preservers
(20230501)Let $\textbf{M}_{n,m}$ be the set of all $n$by$m$ real matrices, and let $\mathbb{R}^{n}$ be the set of all $n$by$1$ real vectors. An $n$by$m$ matrix $R=[r_{ij}]$ is called grow substochastic if $\sum_{k=1}^{m} ...

Reproducing kernel method for solving partial twodimensional nonlinear fractional Volterra integral equation
(20230501)This article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) ...