New parallel fixed point algorithms and their application to a system of variational inequalities
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Access Rights
info:eu-repo/semantics/openAccess
Abstract
n 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.
Description
Keywords
Iterative Algorithm, Variational Inequalities, Relaxed (?, ?)-cocoercive Mappings, Nonexpansive Mappings
Journal or Series
Symmetry-Basel
WoS Q Value
Q2
Scopus Q Value
Q1
Volume
14
Issue
5
