Three-Step Iterative Algorithm for the Extended Cayley–Yosida Inclusion Problem in 2-Uniformly Smooth Banach Spaces: Convergence and Stability Analysis

Imran Ali, Yuanheng Wang () and Rais Ahmad
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Imran Ali: Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522302, Andhra Pradesh, India
Yuanheng Wang: School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China
Rais Ahmad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India

Mathematics, 2024, vol. 12, issue 13, 1-17

Abstract: In this article, we investigate and study an extended Cayley–Yosida inclusion problem. We show that our problem is equivalent to a fixed-point equation. Based on the fixed-point equation, we develop a three-step iterative algorithm to solve our problem. Finally, we illustrate the convergence of the proposed algorithm with an example, computational table, and convergence graph by using MATLAB 2018b.

Keywords: three-step iterative algorithm; Cayley–Yosida inclusion; resolvent operator; convergence and stability; smooth Banach space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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