Iterative scheme generating method in Banach spaces
Atsumasa Kondo · Applicable Analysis and Discrete Mathematics · 2025
We introduce an iterative scheme generating method for contraction-type mappings in Banach spaces. This method allows us to generate infinitely many iterative schemes for finding fixed points. Our main theorem applies to contraction, Kannan, and other mappings. Several corollaries demonstrate the wide variety of iterative methods derived from our main theorems. We also introduce a variational inequality problem, highlighting this work’s applicability.