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Keywords = relaxed (κ, ω)-cocoercive mappings

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17 pages, 381 KiB  
Article
New Parallel Fixed Point Algorithms and Their Application to a System of Variational Inequalities
by Samet Maldar
Symmetry 2022, 14(5), 1025; https://doi.org/10.3390/sym14051025 - 17 May 2022
Cited by 2 | Viewed by 1944
Abstract
In this study, considering the advantages of parallel fixed point algorithms arising from their symmetrical behavior, new types of parallel algorithms have been defined. Strong convergence of these algorithms for certain mappings with altering points has been analyzed, and it has been observed [...] Read more.
In this study, considering the advantages of parallel fixed point algorithms arising from their symmetrical behavior, new types of parallel algorithms have been defined. Strong convergence of these algorithms for certain mappings with altering points has been analyzed, and it has been observed that their convergence behavior is better than existing algorithms with non-simple samples. In addition, the concept of data dependency for these algorithms has been examined for the first time in this study. Finally, it has been proven that the solution of a variational inequality system can be obtained using newly defined parallel algorithms under suitable conditions. Full article
(This article belongs to the Special Issue Advances in Matrix Transformations, Operators and Symmetry)
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