Journal•ISSN: 0129-2021
Southeast Asian Bulletin of Mathematics
Springer Nature
About: Southeast Asian Bulletin of Mathematics is an academic journal. The journal publishes majorly in the area(s): Semigroup & Abelian group. It has an ISSN identifier of 0129-2021. Over the lifetime, 228 publications have been published receiving 1346 citations.
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TL;DR: A common fixed point theorem for three mappings in fuzzy metric space is proved and this result is extended to fuzzy 2 and 3-metric spaces.
Abstract: In this paper we prove a common fixed point theorem for three mappings in fuzzy metric space and then extend this result to fuzzy 2 and 3-metric spaces. Our theorem is an extension of result of Fisher [12], to fuzzy metric spaces.
82 citations
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TL;DR: In this paper, the maximal and minimal ranks of the expressions AA− − A− A− BB− A − AC− C and B− BA − ACC− with respect to the choice of generalized inverses A−, B− and C− were determined.
Abstract: In this paper, we first determine the maximal and minimal ranks of A — BXC with respect to X. Using those results, we then find the maximal and minimal ranks of the expressions AA− — A− A — BB− A — AC− C and B− BA — ACC− with respect to the choice of generalized inverses A−, B− and C−. In particular, we consider the commutativity of A and A−, A
k
and A−.
66 citations
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TL;DR: In this article, the Laplace transform of the unknown function φ with respect to time t was used to solve the one-dimensional heat equation, and the physical solution was recovered with the help of a numerical technique for inverting the Laplacian transform.
Abstract: The problem of solving the one-dimensional heat equation ∂φ/∂t - ∂2φ/∂x2 = f(x, t) subject to given initial and nonlocal conditions is considered. It is solved in the Laplace transform domain by taking the Laplace transform of the unknown function φ with respect to time t. The physical solution is recovered with the help of a numerical technique for inverting the Laplace transform.
51 citations
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TL;DR: The main result of as discussed by the authors is a decomposition theorem of the left regular ordered semigroups into left regular and left simple semigroup, and the main result in this paper is based on this decomposition.
Abstract: The main result of the paper is a decomposition theorem of the left regular ordered semigroups into left regular and left simple semigroups.
50 citations
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TL;DR: In this paper, the cozero-divisor graph Γ′(R) is introduced, which is a dual of the zero-division graph (ZD) in the sense that the vertices x and y are adjacent if and only if x ∕ ∈ yR and y ∕∈ xR.
Abstract: For a commutative ring R with non-zero identity, we denote the set of nonzero elements x in R with xR ∕= R byW ∗(R). So W ∗(R) is the set of non-units of R. In this paper, we introduce the cozero-divisor graph Γ′(R), which is a dual of zero-divisor graph Γ(R) ‘in some sense’, as the (undirected) graph with vertices W ∗(R) and for two distinct elements x and y in W ∗(R), the vertices x and y are adjacent if and only if x ∕∈ yR and y ∕∈ xR. We investigate the interplay between the ring-theoretic properties of R and graph-theoretic properties of Γ′(R). Also we study the relations between two graphs Γ(R) and Γ′(R).
46 citations