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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Veröffentlicht in:Mathematics (Basel) Jg. 12; H. 13; S. 1977
Hauptverfasser: Ali, Imran, Wang, Yuanheng, Ahmad, Rais
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Basel MDPI AG 01.07.2024
Schlagworte:
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-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math12131977