On enriched weakly contractive map in Hilbert spaces
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Date
2025-10-11
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International Journal of Mathematical Sciences and Optimization: Theory and Applications
Abstract
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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Citation
Wahab, O. T., Musa, S. A., & Usman, A. A. (2025). On Enriched Weakly Contractive Maps in Hilbert Spaces. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(3), 68–79.