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Hybrid Inertial Self-Adaptive Iterative Methods for Split Variational Inclusion Problems

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Publicado en:Axioms vol. 14, no. 5 (2025), p. 373
Autor principal: Filali Doaa
Otros Autores: Dilshad Mohammad, Alfaifi Atiaf Farhan Yahya, Akram Mohammad
Publicado:
MDPI AG
Materias:
Approximation
Inclusions
Methods
Viscosity
Algorithms
Iterative methods
Inverse problems
Hilbert space
Data compression
Fixed points (mathematics)
Linear operators
Acceso en línea:Citation/Abstract
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Resumen:Herein, we present two hybrid inertial self-adaptive iterative methods for determining the combined solution of the split variational inclusions and fixed-point problems. Our methods include viscosity approximation, fixed-point iteration, and inertial extrapolation in the initial step of each iteration. We employ two self-adaptive step sizes to compute the iterative sequence, which do not require the pre-calculated norm of a bounded linear operator. We prove strong convergence theorems to approximate the common solution of the split variational inclusions and fixed-point problems. Further, we implement our methods and results to examine split variational inequality and split common fixed-point problems. Finally, we illustrate our methods and compare them with some known methods existing in the literature.
ISSN:2075-1680
DOI:10.3390/axioms14050373
Fuente:Engineering Database