On Enhanced k-Fold Averaged Map of Weak Enhanced f-Contraction with Application to Boundary Layer Model
| dc.contributor.author | John, D., Wahab, O. T. and Adeshola, A. D. | |
| dc.date.accessioned | 2026-05-10T18:37:18Z | |
| dc.date.available | 2026-05-10T18:37:18Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | 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. | |
| dc.description.sponsorship | Co-sponsored | |
| dc.identifier.citation | https://doi.org/10.28919/afpt/9127 | |
| dc.identifier.issn | 1927-6303 | |
| dc.identifier.uri | https://kwasuspace.kwasu.edu.ng/handle/123456789/6964 | |
| dc.language.iso | en | |
| dc.publisher | SCIK Publishing Cooperation. | |
| dc.relation.ispartofseries | 15; 44 | |
| dc.title | On Enhanced k-Fold Averaged Map of Weak Enhanced f-Contraction with Application to Boundary Layer Model | |
| dc.type | Article |