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    RESULTS ON CONDENSED KANNAN-TYPE 2-CYCLIC MAP IN b-METRIC SPACES
    (SCIK Publisher, 2026-04) SALAUDEEN ALARO MUSA, OLALEKAN TAOFEEK WAHAB, TAJUDEEN OLANIYI ALIU, MUSA OLAJIDE FATAI, MUSILIUDEEN ADISA ANISE
    Some authors recently proposed a condensed Kannan-type map that can solve nonlinear problems with unique and non-unique solutions. However, these findings may not address all situations involving inexact spaces. This study presents a strategy for proving fixed points of Kannan-type 2-cyclic contractions by condensation in inexact spaces, commonly referred to as b-metric spaces. We further extend the findings to study fixed points of trivially cyclic mappings. With the aid of examples comprising cyclic and trivially cyclic mappings, we validate all hypotheses of this study. The results show that the condensed cyclic Kannan-type map is more elaborate than the previous Kannan-type cyclic maps in the literature, solves problems with the inexact structures, and ensures unique and non-unique fixed points..
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    Optimization of Rice Production: Case study Rabba in Mokwa Local Government Area Nigeria
    (Department of Mathematics, Modibbo Adama University, 2026-03) Tajudeen O. Aliu; Yisa Elisha; Adediran O. Adeshola; Rasheed O. Ayinla
    This research work aimed at optimizing rice production in Nigeria using linear programming approach. Data were collected from Rabba farm in Mokwa Local Government Area of Niger State. Five varieties of rice namely; Gwali (R1), FARO 44, FARO 68, FARO 61 and Ebangichi commonly grown by the farmers in the community were selected for the work. The computation of results to identify the variety of rice with high and low yield was done with the use of MATLAB. The results revealed that both Gwali (R1) and Faro 68 have the tendency of producing higher yield, followed by FARO 61 and Ebangichi, while FARO 44 produced relatively low yield. The maximum profit attained was #14,510,580.89. Sensitivity analysis was carried out to investigate the impact of change in parameter value (price) on the profit of the variety with lower yield (faro 44). The sensitivity analysis revealed also that faro 44 still has the tendency of producing lower yield, with Faro 68 and Gwali (R1) having the tendency to produce higher yield with no significant change in the profit of the farmers. Sequel to this analysis, farmers in the area are encouraged to grow varieties with tendency of higher yield to enhance maximum production with a view to satisfying the demand for rice in the area, and the country at large.
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    Green’s Equivalence Classes in Full Transformation Semigroups: A Height-based Approach
    (Department of Mathematics, Universitas Negeri Gorontalo, Indonesia, 2025-04-12) Usamot Foluke Idayat, Ibrahim Garba Risqot, Bakare Gatta Naimat, Adeshola Adediran Dauda , Aliu Tajudeen Olaniyi
    Green’s relations constitute five distinct equivalence classes that serve to define the elements of a semi- group. In this work, the equivalence classes within the Full Transformation Semigroup (Tκ) were systematically enu- merated according to their respective heights, and the findings derived were subsequently generalized through the application of a combinatorial assertion and their graphical representations included to substantiate the theoretical results.
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    Initial Coefficient Bounds for Some Novel Subclasses of Analytic and Bi-univalent Functions Defined by q-Differential Operator
    (FUOYE Journal of Pure and Applied Sciences, 2025-04) R. O. Ayinla, R. A. Bello, A. D. Adeshola, T. O. Aliu and M. O. Hassan
    In this study, we use the q-differential operator to establish two novel subclasses of analytic and bi-univalent functions defined in the open unit disk 𝐷 = {𝑧: 𝑧 ∈ ℂ, |𝑧| < 1}. Some known subclasses of analytic and bi-univalent functions, as well as their results are generalized by these novel subclasses and their results.
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    Numerical technique for solving generalized integro- differential-difference equation with variable coefficient combined ultraspherical-Galerkin method
    (Arid Zone Journal of Basic and Applied Research Faculty of Science, Kashim Ibrahim University Maiduguri, Nigeria, 2026-02) Adediran D. Adeshola, Kazeem Issa, Adam A. Ishaq, Risikat A. Bello, Tajudeen O. Aliu and Misturah O. Ibrahim
    This study proposes a numerical technique for obtaining approximate solutions to generalized integro-differential-difference equations with variable coefficients using the Ultraspherical–Galerkin method. The method transforms the original equation into a system of algebraic equations. The approximate solution is expressed in terms of shifted ultraspherical polynomials. The stability and convergence of the proposed technique are analyzed. The accuracy and effectiveness of the method are further validated through several benchmark problems selected from the literature