Scholarly Publication
Permanent URI for this collection
Browse
Recent Submissions
- ItemOn 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 DaudaRecently, 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.
- ItemConstructive 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 AdesinaSecure 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.
- ItemOn 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 AdebayoThis 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.
- ItemThe 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, UchechukwuThis 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
- ItemOn 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 RotimiMany 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.