https://ojs.ictp.it/jnms/index.php/jnms/issue/feedJournal of the Nigerian Mathematical Society2024-09-26T12:26:48+01:00Professor J. A. Oguntuasejnms@ojs.ictp.itOpen Journal Systems<p>Journal of the Nigerian Mathematical Society (JNMS)</p> <p>JNMS provides a means of communication and exchange of ideas among workers in mathematical sciences (mathematics, mathematical physics, statistics, computer science), and offers an effective method of bringing new results quickly to the public. By doing so the journal establishes an informal vehicle enabling the field of mathematical sciences to be understood in a broad sense. It will include theoretical and experimental results, and fundamental and practical research.<br /><br /></p>https://ojs.ictp.it/jnms/index.php/jnms/article/view/1079EXISTENCE OF FIXED POINT FOR A NEW CLASS OF ENRICHED PSEUDOCONTRATIVE MAPPINGS2024-05-28T15:30:11+01:00Godwin Amechi Okekegodwin.okeke@futo.edu.ngImo Agwuagwuimo@gmail.comDonatus Igbokweigbokwedi@yahoo.comHallowed Olaoluwaholaoluwa@unilag.edu.ng<p>In this paper, we introduce a new class of mappings known as $\beta<br />$-enriched pseudocontractive mappings and proved that the fixed point for<br />such mappings do exist in the setup of uniformly convex Banach spaces. Our<br />result is an extension of comparable results in the existing literature.<br />Some examples are presented to support the main results established in this<br />paper.</p>2024-09-26T00:00:00+01:00Copyright (c) 2024 https://ojs.ictp.it/jnms/index.php/jnms/article/view/1024THE RADIAL PART OF AN INVARIANT DIFFERENTIAL OPERATOR ON THE EUCLIDEAN MOTION GROUPS2023-10-12T07:38:41+01:00Uwe Edekeueedeke@gmail.comUnanaowo Basseyunbassey@yahoo.com<p><span class="fontstyle0">Let </span><span class="fontstyle2">G </span><span class="fontstyle0">be the Euclidean motion group realised as the semi direct product of </span><span class="fontstyle3">R</span><span class="fontstyle4">n </span><span class="fontstyle0">and </span><span class="fontstyle2">SO</span><span class="fontstyle0">(</span><span class="fontstyle2">n</span><span class="fontstyle0">), that is, </span><span class="fontstyle2">G </span><span class="fontstyle0">=<br /></span><span class="fontstyle3">R^</span><span class="fontstyle4">n </span><span class="fontstyle3">⋊ </span><span class="fontstyle2">SO</span><span class="fontstyle0">(</span><span class="fontstyle2">n</span><span class="fontstyle0">). The pair (</span><span class="fontstyle3">R^</span><span class="fontstyle4">n </span><span class="fontstyle3">⋊ </span><span class="fontstyle2">SO</span><span class="fontstyle0">(</span><span class="fontstyle2">n</span><span class="fontstyle0">)</span><span class="fontstyle2">, SO</span><span class="fontstyle0">(</span><span class="fontstyle2">n</span><span class="fontstyle0">)) is called the Gelfand pair. In this work, among other things,<br />spherical analysis on the pair is presented, including an explicit determination of spherical function for </span><span class="fontstyle2">G</span><span class="fontstyle0">.</span></p>2024-09-26T00:00:00+01:00Copyright (c) 2024 https://ojs.ictp.it/jnms/index.php/jnms/article/view/1055 SPLIT EQUALITY EQUILIBRIUM PROBLEM WITH MULTIVALUED STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN HILBERT SPACES2024-04-04T11:10:33+01:00Murtala Haruna Harbaumurtalaharbau@yahoo.comBashir Alibashiralik@yahoo.com<p>In this paper, we introduce a hybrid projected subgradient method for approximating a common solution of the set of split equality equilibrium problem and multisets split equality fixed point problem for finite families of multivalued strictly pseudocontractive mappings in real Hilbert spaces. We establish weak and strong convergence theorems. Our results generalize and improve several recent results.</p>2024-09-26T00:00:00+01:00Copyright (c) 2024 https://ojs.ictp.it/jnms/index.php/jnms/article/view/1066QUALITATIVE CLASSIFICATION OF AN AUTONOMOUS DIFFERENTIAL EQUATION AND ITS APPLICATION TO IMAGE RECOGNITION SYSTEM 2024-06-01T14:55:22+01:00Bamidele Oluwadebamideleoluwade@gmail.com<p>In (face) image recognition system, a set of test images is compared to a set of training images for verification. A basic requirement for effective matching of these face images is that each image is structurally unique/distinct. This uniqueness is important in applications such as the issuance of national identification card and bank verification number. Standard algorithms and software exist on image recognition systems but there is still room for additional efforts. The present paper considers the problem of creating unique images for a hypothetical model of face image recognition system, such that the faces in the training data and the test data are simulated. The paper presents the classification of a first order autonomous ordinary differential equation having a nonlinear quintic polynomial part via the critical points of the equation. This is accomplished using a novel classification method, which may be called differential structure method, that was earlier developed by the author. The relevant qualitative properties are existence and uniqueness of solutions. It is shown that forty six (46) qualitative classes or unique images can be generated for matching in a simulated environment. A higher number of images can be generated by using a higher degree polynomial differential equation. Essentially, the results in the paper are also applicable to population modelling.</p>2024-09-26T00:00:00+01:00Copyright (c) 2024 https://ojs.ictp.it/jnms/index.php/jnms/article/view/1111ON ANALYSIS OF A MATHEMATICAL MODEL OF CHOLERA USING CAPUTO FRACTIONAL ORDER2024-08-23T10:54:51+01:00Joseph Adedejijoseph.adedeji@uniosun.edu.ngMorufu Oyedunsi Olayiwolaolayiwola.oyedunsi@uniosun.edu.ng<p>Cholera, a dangerous waterborne disease, disproportionately affect developing nations. This study employs a Caputo fractional order derivative cholera model to assess control strategies (immunization, therapy, water sanitation). Qualitative analysis validates the model, and the basic reproductive ratio is calculated to gauge control effectiveness.The results of the homotopy perturbation method, simulated using MAPLE, showed that a combined strategy of vaccines, treatment, and water sanitation can effectively eradicate the cholera virus. It is recommended that the insights from this study be utilized to guide decision-making and enhance public health outcomes.</p>2024-09-26T00:00:00+01:00Copyright (c) 2024