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Three-Step Iterative Methodology for the Solution of Extended Ordered XOR-Inclusion Problems Incorporating Generalized Cayley–Yosida Operators

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Publicado en:Mathematics vol. 13, no. 12 (2025), p. 1969-1993
Autor principal: Filali Doaa
Otros Autores: Ali, Imran, Ali Montaser Saudi, Eljaneid Nidal H. E., Esmail, Alshaban, Khan, Faizan Ahmad
Publicado:
MDPI AG
Materias:
Approximation
Banach spaces
Convergence
Algorithms
Lipschitz condition
Operators (mathematics)
Acceso en línea:Citation/Abstract
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Resumen:The system of extended ordered XOR-inclusion problems (in short, SEOXORIP) involving generalized Cayley and Yosida operators is introduced and studied in this paper. The solution is obtained in a real ordered Banach space using a fixed-point approach. First, we develop the fixed-point lemma for the solution of SEOXORIP. By using the fixed-point lemma, we develop a three-step iterative scheme for obtaining the approximate solution of SEOXORIP. Under the Lipschitz continuous assumptions of the cost mappings, the strong convergence of the scheme is demonstrated. Lastly, we provide a numerical example with a convergence graph generated using MATLAB 2018a to verify the convergence of the sequence generated by the proposed scheme.
ISSN:2227-7390
DOI:10.3390/math13121969
Fuente:Engineering Database