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

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...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 12; no. 13; p. 1977
Main Authors: Ali, Imran, Wang, Yuanheng, Ahmad, Rais
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.07.2024
Subjects:
Algorithms
Approximation
Banach spaces
Cayley–Yosida inclusion
Convergence
convergence and stability
Iterative algorithms
Iterative methods
Partial differential equations
resolvent operator
smooth Banach space
Stability analysis
three-step iterative algorithm
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary: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.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math12131977