New parallel fixed point algorithms and their application to a system of variational inequalities

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Küçük Resim

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

MDPI

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Iterative Algorithm, Variational Inequalities, Relaxed (?, ?)-cocoercive Mappings, Nonexpansive Mappings

Kaynak

Symmetry-Basel

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

14

Sayı

5

Künye