Ball Convergence of Iterative Methods without Derivatives with or without Memory Relying on the Weight Operator Technique

Abstract

A method without memory as well as a method with memory are developed free of derivatives for solving Banach space valued equations. Their ball convergence analysis is provided using only the derivative and the divided difference of order one in contrast to earlier works on the real line using the fifth as well as the seventh derivative. This way the applicability is expanded for these methods. © 2024 selection and editorial matter, Pradip Debnath, Delfim F.M. Torres, Yeol Je Cho; individual chapters, the contributors.