Modified intermixed iteration for solving the split general system of variational inequality problems and applications

Inspired by the works of Siriyan and Kangtunyakarn ( 2018 ) and Yao et al. ( 2015 ), we first introduce the two-step intermixed iteration for finding a common element of the set of the solutions of the split general system of variational inequality problem (SGSV), and also, we prove strong convergen...

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Published in:Computational & applied mathematics Vol. 40; no. 8
Main Authors: Saechou, Kanyanee, Kangtunyakarn, Atid
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2021
Springer Nature B.V
Subjects:
Algorithms
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Convergence
Inequality
Iterative methods
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Theorems
47H09
47H10
Nonexpansive mappings
The split general system of variational inequalities problem
Fixed point
ISSN:2238-3603, 1807-0302
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Abstract Inspired by the works of Siriyan and Kangtunyakarn ( 2018 ) and Yao et al. ( 2015 ), we first introduce the two-step intermixed iteration for finding a common element of the set of the solutions of the split general system of variational inequality problem (SGSV), and also, we prove strong convergence theorem of the intermixed algorithm. Using our main theorem, we prove strong convergence theorems for finding solutions to the split variational inequality problem (SVIP), the split feasibility problem (SFP), and the split common fixed point problem (SCFP). Moreover, we give three numerical examples of these classical problems introduced by the previous studies and an example that conflicts with our main theorem where some conditions fail.
AbstractList Inspired by the works of Siriyan and Kangtunyakarn (2018) and Yao et al. (2015), we first introduce the two-step intermixed iteration for finding a common element of the set of the solutions of the split general system of variational inequality problem (SGSV), and also, we prove strong convergence theorem of the intermixed algorithm. Using our main theorem, we prove strong convergence theorems for finding solutions to the split variational inequality problem (SVIP), the split feasibility problem (SFP), and the split common fixed point problem (SCFP). Moreover, we give three numerical examples of these classical problems introduced by the previous studies and an example that conflicts with our main theorem where some conditions fail.
Inspired by the works of Siriyan and Kangtunyakarn ( 2018 ) and Yao et al. ( 2015 ), we first introduce the two-step intermixed iteration for finding a common element of the set of the solutions of the split general system of variational inequality problem (SGSV), and also, we prove strong convergence theorem of the intermixed algorithm. Using our main theorem, we prove strong convergence theorems for finding solutions to the split variational inequality problem (SVIP), the split feasibility problem (SFP), and the split common fixed point problem (SCFP). Moreover, we give three numerical examples of these classical problems introduced by the previous studies and an example that conflicts with our main theorem where some conditions fail.
ArticleNumber 264
Author Kangtunyakarn, Atid
Saechou, Kanyanee
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47H10
Nonexpansive mappings
The split general system of variational inequalities problem
Fixed point
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Snippet Inspired by the works of Siriyan and Kangtunyakarn ( 2018 ) and Yao et al. ( 2015 ), we first introduce the two-step intermixed iteration for finding a common...
Inspired by the works of Siriyan and Kangtunyakarn (2018) and Yao et al. (2015), we first introduce the two-step intermixed iteration for finding a common...
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SubjectTerms Algorithms
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Convergence
Inequality
Iterative methods
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Theorems
Title Modified intermixed iteration for solving the split general system of variational inequality problems and applications
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