On generalized extragradient implicit method for systems of variational inequalities with constraints of variational inclusion and fixed point problems

Abstract: In a real Banach space, let the VI indicate a variational inclusion for two accretive operators and let the CFPP denote a common fixed point problem of countably many nonexpansive mappings. In this article, we introduce a generalized extragradient implicit method for solving a general system of variational inequalities (GSVI) with the VI and CFPP constraints. Strong convergence of the suggested method to a solution of the GSVI with the VI and CFPP constraints under some suitable assumptions is established.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
On generalized extragradient implicit method for systems of variational inequalities with constraints of variational inclusion and fixed point problems ; volume:20 ; number:1 ; year:2022 ; pages:1770-1784 ; extent:15
Open mathematics ; 20, Heft 1 (2022), 1770-1784 (gesamt 15)

Creator
Ceng, Lu-Chuan
Zhu, Li-Jun
Yin, Tzu-Chien

DOI
10.1515/math-2022-0536
URN
urn:nbn:de:101:1-2023010713214428101906
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:20 AM CEST

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Associated

  • Ceng, Lu-Chuan
  • Zhu, Li-Jun
  • Yin, Tzu-Chien

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