Bulletin of the Malaysian Mathematical Sciences Society

List of Papers (Total 20)

Rota–Baxter Operators on Pre-Lie Superalgebras

In this paper, we study Rota–Baxter operators and super $\mathcal {O}$-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and L-dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras, Lie superalgebras and L-dendriform superalgebras. Moreover, we provide all Rota–Baxter operators of...

Weak Stability of Centred Quadratic Stochastic Operators

We consider the weak convergence of iterates of so-called centred quadratic stochastic operators. These iterations allow us to study the discrete time evolution of probability distributions of vector-valued traits in populations of inbreeding or hermaphroditic species, whenever the offspring’s trait is equal to an additively perturbed arithmetic mean of the parents’ traits. It is...

On the Topological Conjugacy of Brouwer Flows

We study the problem of topological conjugacy of Brouwer flows. We give a sufficient and necessary condition for Brouwer flows to be topologically conjugate. To obtain this result we use a cover of the plane by maximal parallelizable regions and relations between parallelizing homeomorphisms of these regions. We show that for topologically equivalent Brouwer flows there exists a...

Diophantine Triples and k-Generalized Fibonacci Sequences

We show that if $k\ge 2$ is an integer and $\big (F_n^{(k)}\big )_{n\ge 0}$ is the sequence of k-generalized Fibonacci numbers, then there are only finitely many triples of positive integers $1<a<b<c$ such that $ab+1,~ac+1,~bc+1$ are all members of $\big \{F_n^{(k)}: n\ge 1\big \}$. This generalizes a previous result where the statement for $k=3$ was proved. The...

Vector Exponential Penalty Function Method for Nondifferentiable Multiobjective Programming Problems

In this paper, a new vector exponential penalty function method for nondifferentiable multiobjective programming problems with inequality constraints is introduced. First, the case when a sequence of vector penalized optimization problems with vector exponential penalty function constructed for the original multiobjective programming problem is considered, and the convergence of...

Coefficient Estimates and Bloch’s Constant in Some Classes of Harmonic Mappings

Following Clunie and Sheil-Small, the class of normalized univalent harmonic mappings in the unit disk is denoted by ${\mathcal {S}}_{{\mathcal {H}}}$. The aim of the paper is to study the properties of a subclass of ${\mathcal {S}}_{{\mathcal {H}}}$, such that the analytic part is a convex function. We establish estimates of some functionals and bounds of the Bloch’s...

Free and Cofree Acts of Dcpo-Monoids on Directed Complete Posets

In this paper, we study the existence of the free and cofree objects in the categories Dcpo-$S$ (and Cpo-$S$) of all directed complete posets (with bottom element) equipped with a compatible right action of a dcpo-monoid (cpo-monoid) $S$, with (strict) continuous action-preserving maps between them. More precisely, we consider all forgetful functors between these categories...

Differential Subordinations and Harmonic Means

The aim of a study of the presented paper is the differential subordination involving harmonic means of the expressions $p(z)$, $p(z) + zp'(z)$, and $p(z) + \frac{zp'(z)}{p(z)}$ when $p$ is an analytic function in the unit disk, such that $p(0)=1, p(z)\not \equiv 1$. Several applications in the geometric functions theory are given.