Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces
Abstract
This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings. By addressing these aspects, the study deepens the theoretical understanding of enriched contractions and offers valuable insights into fixed point approximation. Some illustrative examples are provided to demonstrate the application of the theoretical results.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Optimization and Variational Analysis
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Journal of Mathematics
- Publisher
- Wiley
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN