On Enriched Weakly Contractive Maps in Hilbert Spaces

  • O. T. Wahab
  • S. A. Musa
  • A. A. Usman
Keywords: Enriched weakly contractive mapping, Strong and weak convergence, Stability, Hilbert spaces

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 generality 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.

Published
2025-09-30
How to Cite
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. Retrieved from https://ijmso.unilag.edu.ng/article/view/2853
Issue
Vol 11 No 3 (2025)
Section
Articles

Copyright (c) 2025 Author

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