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

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Xuất bản năm:Axioms vol. 14, no. 5 (2025), p. 373
Tác giả chính: Filali Doaa
Tác giả khác: Dilshad Mohammad, Alfaifi Atiaf Farhan Yahya, Akram Mohammad
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MDPI AG
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100 1 |a Filali Doaa  |u Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia 
245 1 |a Hybrid Inertial Self-Adaptive Iterative Methods for Split Variational Inclusion Problems 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a 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. 
653 |a Approximation 
653 |a Inclusions 
653 |a Methods 
653 |a Viscosity 
653 |a Algorithms 
653 |a Iterative methods 
653 |a Inverse problems 
653 |a Hilbert space 
653 |a Data compression 
653 |a Fixed points (mathematics) 
653 |a Linear operators 
700 1 |a Dilshad Mohammad  |u Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia 
700 1 |a Alfaifi Atiaf Farhan Yahya  |u Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia 
700 1 |a Akram Mohammad  |u Department of Mathematics, Faculty of Science, Islamic University of Madinah, P.O. Box 170, Madinah 42351, Saudi Arabia 
773 0 |t Axioms  |g vol. 14, no. 5 (2025), p. 373 
786 0 |d ProQuest  |t Engineering Database 
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