For a nontrivial connected graph G, a non-empty set S \(\subseteq\) V (G) is a bipartite dominating set of graph G, if the subgraph G[S] induced by S is bipartite and for every vertex not in S is dominated by any vertex in S. The bipartite domination number denoted by \(\gamma\)b...
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Research Article10.9734/arjom/2023/v19i5658
In this research article, we obtained fixed points for Four self – mappings with the property Occasionally Weakly Compatible (OWC) in Cone Metric Spaces (CMS). Our results are generalized, improved some of the results in this article references.
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Research Article10.9734/arjom/2023/v19i5657
The class functions and are used in this paper to establish the notion of fixed point theorem on expansive mappings. The primary result is a generalization of the fixed point theorem for (\(\Phi\), \(\mathfrak{F}\)) expansive mappings on cone -metric spaces over Banach algebra \(...
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Research Article10.9734/arjom/2023/v19i5656
An inner toral polynomial is a polynomial in \(\mathbb{C}\) [z,w] such that its zero set is contained in \(\mathbb{D}\)2 \(\cup\) \(\mathbb{T}\)2 \(\cup\) \(\mathbb{E}\)2 where \(\mathbb{D}\) is the open unit disc, \(\mathbb{T}\) is the unit circle and \(\mathbb{E}\) is the exter...
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Research Article10.9734/arjom/2023/v19i5655
Many fixed point iterative methods have been proposed. Their authors provide, theoretically, the rate of convergence which indicates how much the error changes after one iteration step. Of practical importance are the CPU time required by each method and their accuracy. This has...
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Research Article10.9734/arjom/2023/v19i5654
In this paper, the problem of H\(\infty\) output-tracking control for T-S fuzzy markov jump systems(MJSs) with imperfect premise matching is investigated. The conditional probability information between the system and the controller is imperfectly known. Firstly, due to the in in...
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Research Article10.9734/arjom/2023/v19i4653
In this paper a mathematical model describing a between host cervical cancer infection incorporating diagnosis was formulated and analysed. The qualitative analysis of model showed that the infection dynamics can best be described by the threshold value R0B , in which for the val...
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Research Article10.9734/arjom/2023/v19i4652
Numerical investigation on laminar plumes that under goes buoyancy reversal had just been made, fixing both Re & Pr and varying Fr during the simulations. Water density was taken as a quadratic function of temperature. The result showed some side-to-side apping and bobbing mo...
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Research Article10.9734/arjom/2023/v19i4650
Let G = (V (G), E(G)) be any finite, undirected, simple graph. A set D \(\subseteq\) V (G) is introduced in this paper as a clique-safe dominating set of G if D is a dominating set of G and for every clique D\(\prime\)m of size m in the subgraph induced by V (G) \D, there exists...
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Research Article10.9734/arjom/2023/v19i4651
For a nontrivial connected graph G with no isolated vertex, a nonempty subset D \(\subseteq\) V (G) is a rings dominating set if D is a dominating set and for each vertex \(\upsilon\) \(\in\) V \ D is adjacent to at least two vertices in V \ D. Thus, the dominating set D of V (G)...
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Research Article10.9734/arjom/2023/v19i4649