In this paper, we suggest two new iterative methods for finding an element of the solution set of split variational inclusion problem in real Hilbert spaces.
Luong Van Long +2 more
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On inertial proximal algorithm for split variational inclusion problems
Optimization, 2018In this paper, a hybrid proximal algorithm with inertial effect is introduced to solve a split variational inclusion problem in real Hilbert spaces. Under mild conditions on the parameters, we establish weak convergence results for the proposed algorithm. Unlike the earlier iterative methods, we do not impose any conditions on the sequence generated by
Prashanta Majee, Chandal Nahak
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Split monotone variational inclusion problem involving Cayley operators
Georgian Mathematical Journal, 2022Abstract In this article, we introduce a new kind of split monotone variational inclusion problem involving Cayley operator in the setting of infinite-dimensional Hilbert spaces. We develop a general iterative method to approximate the solution of the split monotone variational inclusion problem involving Cayley operator.
Rahaman, Mijanur +3 more
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Variational inequalities over the solution sets of split variational inclusion problems
Applied Numerical Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simeon Reich +2 more
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Two Optimization Approaches for Solving Split Variational Inclusion Problems with Applications
Journal of Scientific Computing, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Xiaojun, Liu, Hongwei, Li, Xiaoyin
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A new strong convergence for solving split variational inclusion problems
Numerical Algorithms, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thong, Duong Viet +2 more
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A new proximal-like algorithm for solving split variational inclusion problems
Numerical Algorithms, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dang Van Hieu +3 more
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Viscosity Self-Adaptive Method for Generalized Split System of Variational Inclusion Problem
Bulletin of the Iranian Mathematical Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anteneh Getachew Gebrie, Berhanu Bekele
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Viscosity approximation for split monotone variational inclusions and fixed point problem
Fixed Point Theory, 2023Summary: In this work, we investigate an iterative method based on viscosity approximation method to approximate a common solution of split monotone variational inclusion problem and fixed point problem for a nonexpansive mapping in the frame work of real Hilbert spaces.
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Inertial approximation method for split variational inclusion problem in Banach spaces
2020Summary: In this paper, we introduce a new iterative algorithm of inertial form for approximating the solution of Split Variational Inclusion Problem (SVIP) involving accrective operators in Banach space. Motivated by the inertial technique, we incorporate the inertial term to accelerate the convergence of the proposed method.
Oyewole, Olawale +3 more
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