Browsing by Author "Wahab, Olalekan Taofeek"

Now showing 1 - 9 of 9
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    An efficient extragradient method for solving variational inequality problems with pseudo-monotone operators
    (Vertex Academic Press, 2026-01-20) Abdullahi, Muhammed Liman; Wahab, Olalekan Taofeek; Aderoju, Samuel Adewale; Mohammed, Ghazali Nasirudeen; John Dunama; Musa, Salaudeen Alaro
    Variational Inequality Problems (VIPs) provide a strong framework for exhibiting equilibrium problems in a variety of disciplines. Global Lipschitz continuity and strong monotonicity are two restrictive assumptions that are frequently used in traditional extragradient methods for solving VIPs, which limit their applicability to solve pseudo-monotone operators. This paper introduces a novel extragradient-type technique that eliminates the need for a global Lipschitz constant. A relaxation parameter that stabilizes the iterative process by taking a convex combination of the current point and a standard projection step is one of the two main innovations included in the new technique. The second innovation is an adaptive line search strategy that dynamically modifies the step size in response to local operator behaviour. We present a thorough convergence analysis that demonstrates the resulting sequence's weak convergence to a VIP solution. The suggested algorithm is more effective and reliable than previous approaches, especially for large-scale issues with sensitive initial circumstances, as shown by numerical experiments on well-known benchmark problems such as Sun's and Kojima-Shindo problems.
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    Condensed Kannan-Type Maps and Their Efficiency Measures in Complete Metric Spaces
    (2025-09-25) Wahab, Olalekan Taofeek; Ibrahim-Garba, Risqot; Musa, Salaudeen Alaro
    Recently, some studies introduced interpolative Kannan-type maps for solving non-unique fixed-point problems. However, these studies do not offer a technique for determining the fractional powers of the maps, which would be useful in approximating the fixed points. This study uses two symmetry terms of the conventional Kannan contraction to define a novel condensed Kannan-type contraction in complete metric spaces. By imposing the condensed map on the Picard operator, we prove the existence of unique and non-unique fixed points. We also define a criterion for selecting an appropriate real constant α suitable for approximating the fixed points of the condensed map. We consider two practical and numerical examples to show both the versatility and validity of the hypotheses of this study. These results show that the class of condensed maps is strictly larger than the existing class Kannan-type maps, ensure suitability for solving both unique and non-unique fixed points, and do so with a better convergence rate.
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    Constructive approach and randomization of a two-parameter chaos system for securing data
    (FLAYOO Publishing House Limited, 2024-05-21) Wahab, Olalekan Taofeek; Musa, Salaudeen Alaro; Jimoh, Abdulazeez Kayode; Dauda, Kazeem Adesina
    Secure communication techniques are important due to the increase in the number of technology users across the world. Likewise, a more random encryption algorithm suitable to secure data from unauthorised users is highly expected. This paper proposes a two-parameter nonlinear chaos map that is sensitive to the trio seed (s0, \alpha, \lambda) and has better information encryption. We introduce the parameter \alpha to linearise the conventional chaos system, which in turn brings a delay in the cryptosystems. The delay is a phenomenon that changes the chaotic features of a system. A small delay in the system leads to more aperiodicity and the unpredictability of the chaotic attractions. We normalise the new chaos map and use the Lipschitz and pseudo-contractive operators to obtain its irregularity region in Hilbert spaces. We also analyse the chaos map in terms of trajectory, Lyapunov exponent, complexity, and information entropy. Results obtained show that the new chaos map has a wide chaotic range and better statistical properties. It also maintains low complexity due to its linearity and produces more key spaces than most existing chaotic maps.
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    FIXED POINT THEOREMS OF CONDENSED KANNAN-TYPE CONTRACTION IN G-METRIC SPACES
    (2025-06-30) Wahab, Olalekan Taofeek; Musa, Salaudeen Alaro; Usman, Abdulazeez Adebayo; John, Dunama; Mohammed, Ghazali Nasirudeen
    In this paper, we introduce the notion of condensed Kannan-type contraction in G-metric spaces. We establish and prove some fixed point theorems of operators satisfying the condensed Kannan-type map. To evaluate the efficacy of this condition, we de fine a new criterion, called the alpha-measure, in G-metric spaces to seamlessly assess the effectiveness and dynamicity of the condensed map. We consider some practical examples to validate and demonstrate the dominance of the condensed map over some existing Kannan-type maps in G-metric spaces. The results obtained ensure suitability for solving unique and non-unique fixed points and suggest a framework for selecting an appropriate real constant alpha in (0; 1) for studying nonlinear operators.
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    On enhanced k-fold averaged map of weak enriched F-contraction with application to boundary layer model
    (SCIK Publishing Corporation, 2025-09-29) John, Dunama; Wahab, Olalekan Taofeek; Adeshola, Adediran Dauda
    Recently, two separate generalizations of enriched contraction maps, namely, weak enriched contraction and weak enriched F-contractions, were introduced to approximate fixed points using the higher order Kirk iteration. In this article, we introduce an enhanced k-fold averaged iterative procedure that can approximate fixed points of operators that may not meet the hypotheses of the previous k-fold averaged iterative scheme for each k. Our first attempt is to prove the strong convergence and stability of the enhanced k-fold averaged iteration associated with the weak enriched F-contraction in Banach spaces. Also, we justify the equivalence of the enhanced k-fold Kirk iteration with other comparable iterative schemes using the weak enriched F-contractive map. Furthermore, we show the validation and versatility of the enhanced map with some numerical examples. The results indicate that the improved k-fold averaged iteration (a) has a better convergent rate than others and (b) exhibits contracting behavior when others fail for some enriching constants. As an application, the enhanced k-fold map is employed to solve a boundary layer model.
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    On enriched weakly contractive map in Hilbert spaces
    (International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2025-10-11) Wahab, Olalekan Taofeek; Musa, Salaudeen Alaro; Usman, Abdulazeez Adebayo
    This paper introduces a class of enriched weakly contractive mappings for approximating a non-Picard average operator on a closed convex subset of Hilbert spaces. By imposing the enriched weakly mapping on the average operator, we establish and prove some results concerning convergence theorems (strong and weak), stability, and convergent rate. The validity and gen erality of the new class of enriched weakly mappings are examined with the aid of practical examples. The results harmonize and improve some recent results on enriched contractive-type mappings.
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    On the existence of fixed points via condensed Reich-Rus-Ciric-type contractions
    (Vertex Academic Press, 2025-08-06) Wahab, Olalekan Taofeek; Usamot, Idayat Foluke; Tijani, Kamiludeen Rotimi
    Many research papers have recently studied the interpolation technique of contractive-type maps to examine the existence of nonlinear operators that do not require unique fixed points. In this article, we introduce a notion of condensed Reich-Rus-Ciric-type (CRRC) contraction to examine the existence of operators that require both unique and non-unique fixed points. By condensing the CRRC map, we establish and prove some fixed point theorems in standard metric spaces. An illustrative example is considered to show that the new CRRC-type map exhibits contracting behaviors when others do not. The study concludes that the new CRRC-type map improves and includes many known Reich-Rus-Ciric-type maps in the literature.
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    Results on condensed Kannan-type 2-cyclic map in b-metric spaces
    (SCIK Publishing Corporation, 2026-03-30) Musa, Salaudeen Alaro; Wahab, Olalekan Taofeek; Aliu, Tajudeen Olaniyi; Fatai, Musa Olajide; Anise, Musiliudeen Adisa
    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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    The New Extended Exponential-Gamma (NEEG) Distribution: Properties and Applications to Infectious Disease Modelling
    (African Journal Online, 2025-08-06) Aderoju, Samuel Adewale; Salau, Ganiyat Monishola; Sanni, Bello Ishola; Adeshola, Adediran Dauda; Jimoh, Abdulazeez Kayode; Wahab, Olalekan Taofeek; Kalu, Uchechukwu
    This study introduces the New Extended Exponential-Gamma (NEEG) distribution, a flexible lifetime model developed to address the limitations of classical and generalized distributions in capturing real-world data complexity. The statistical properties of the proposed distribution are thoroughly explored, including its probability density function, cumulative distribution function, and parameter estimation via the maximum likelihood method. The practical effectiveness of the NEEG model is demonstrated using two real-life COVID- 19 datasets from Italy and Nigeria, where it is benchmarked against several existing models such as the Gamma, Exponential, UYEG, and two variants of the Generalized Lindley distribution. Model comparison was conducted using a combination of information criteria (AIC, AICc, BIC, HQIC) and graphical tools such as density plots overlaid on empirical histograms. The results consistently show that the NEEG distribution provides the best fit across both datasets, outperforming all competing models in terms of flexibility, goodness-of-fit, and alignment with the empirical data. The model’s adaptability to skewed and peaked data structures is particularly evident in pandemic-related scenarios, where traditional models often fail. These findings position the NEEG distribution as a powerful and versatile tool for statistical modelling in public health, reliability analysis, and other domains requiring robust handling of nonnormal, skewed, or heavy-tailed data. Future research may extend the model into regression frameworks or multivariate contexts to enhance its applicability further. INTRODUCTION One notable development in lifetime data modelling