Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces

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.