Malaya Journal of Matematik

Skew codes over the split quaternions

Abdullah Dertli — 2025-01-01

In this paper, the structures of linear codes over the split quaternions with coefficients from \(Z_3, Hs, 3 = Z_3 +iZ_3 +jZ_3 + kZ_3\) are determined with \(i^2 = −1, j^2 = k^2 = 1, ij = k = −ji, jk = −i = −kj, ki = j = −ik, ijk = 1\). It is shown that the split quaternions over \(Z_3\) decompose into two parts from \(Z_3+iZ_3\) with idempotent coefficients. The structures of the skew cyclic and skew constacyclic codes over \(Hs,3\) are obtained.

Ricci solitons on concircularly flat and \(W_{i}\)- flat Sasakian manifolds admitting a general connection

Murat Altunbaş — 2025-01-01

In this paper, we investigate Ricci solitons on concircularly flat and \(W_i\)−flat (\(i = 2, 3, 4\)) Sasakian manifolds. Sasakian manifolds are considered as admitting a connection which generalize the well-known connections so called the quarter symmetric metric, Schouten-Van Kampen, Tanaka-Webster and Zamkovoy connections.

Some geometric properties of the generalized \(k\)-Bessel functions

Büşra Korkmaz — 2025-01-01

In the present work, we investigate certain geometrical properties of a normalized form of \(k\)-Bessel function in the open disk \(\mathbb{B}_\frac{1}{2}=\left\lbrace \rho\in\mathbb{C}:\left|\rho\right|<\frac{1}{2} \right\rbrace \). Also, we determine some sufficient conditions on the parameters such that the mentioned function is uniform convex and parabolic starlike, respectively. In addition, we present some corollaries regarding classical Bessel function and modified Bessel functions of the first kind for some special values of parameters. Finally, we give some examples for our results and support them with graphs.

Existence of principal eigensurfaces for cooperative \((p_1, . . . , p_n)\)-biharmonic systems

Lawouè Robert Toyou — 2025-01-01

In this work, we establish existence of principal eigensurface as well as simplicity result for a biharmonician system subject to Navier boundary condition using eigencurve approach.

Letter on the Chinese-T-game

Johan Kok — 2025-01-01

This letter presents three new minimization problems related to a new notion called the \emph{Chinese-T-game} in a simple connected graph. The minimization problems stem from the \emph{Chinese-T-walks} generated by the Chinese-T-game rules. It is a letter because some results rely on \emph{axiomatic reasoning} which the author find sufficient. However, some readers may find the reasoning not sufficiently rigorous. It is foreseen that the \emph{Chinese-T-game} will find application in at least, graph data science, robotics, AI, facial recognition, consumer preference analysis and alike. The ideas presented can easily be generalized to non-simple connected graphs.

Soft \(\beta^*\) open sets in soft topological spaces

Abeda Dodamani — 2025-01-01

In this present paper, we define the concepts of soft \(\beta^*\) -open sets, soft \(\beta^*\) -closed sets in soft topological space and study some of their properties. Further, the notion of soft \(\beta^*\) interior and soft \(\beta^*\) closure of a set are introduced, and their basic properties are explored.

Coherent ideals of 1-distributive lattices

Chandrani Nag — 2025-01-01

In this paper, we study coherent ideals of pseudocomplemented 1-distributive lattices. We give a set of conditions for an ideal to be a coherent ideal. We also prove some conditions for a pseudocomplemented 1-distributive lattice to be weakly Stone lattice.

Existence and trajectory controllability for the conformable fractional evolution systems

Vishant Shah — 2025-01-01

This article established sufficient conditions for the existence and trajectory controllability for the conformable fractional evolution equation with non-local and classical conditions. These conditions are established through the concept of the operator semi-group, nonlinear functional analysis,Banach fixed point principle and Gronwall’s inequality. At last, examples in finite and infinite dimensional Banach spaces were given to validate the obtained results

Approximation results for local solution of the initial value problems of nonlinear first order ordinary hybrid integrodifferential equations

Bapurao Dhage — 2025-01-01

In this paper, we establish a couple of approximation results for local existence and uniqueness of the solution of a initial value problem of nonlinear first order ordinary hybrid integrodifferential equations by using the Dhage monotone iteration method based on the recent hybrid fixed point theorems of Dhage (2022) and Dhage {\em et al.} (2022). An approximation result for Ulam-Hyers stability of the local solution of the considered hybrid differential equation is also established. Finally, our main abstract results are also illustrated with the help of a couple of numerical examples.

\(\aleph\) Closed sets in intuitionistic fuzzy topological spaces

Riya V.M. — 2025-01-01

In this paper we have introduced a family of intuitionistic fuzzy \(\aleph\) closed sets in intuitionistic fuzzy topological spaces closed sets in intuitionistic fuzzy topological spaces. Some properties and several characterizations are investigated. Also, we have obtained some interesting theorems