General iterative methods for systems of variational inequalities with the constraints of generalized mixed equilibria and fixed point problem of pseudocontractions

DOI10.1186/s13660-018-1899-0zbMath1498.47139OpenAlexW2900537105WikidataQ59799096 ScholiaQ59799096MaRDI QIDQ824884

Bing Hu, Jin-Lin Guan, Qian-Wen Wang, Lu-Chuan Ceng

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1899-0

zbMATH Keywords

strong convergencevariational inequalitygeneralized mixed equilibrium problemgeneral system of variational inequalitiescontinuous monotone mappingcontinuous pseudocontractive mappinggeneral iterative methodimplicit iterative methods

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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A new iterative algorithm for general variational inequality problem with applications ⋮ Strong convergence results for variational inclusions, systems of variational inequalities and fixed point problems using composite viscosity implicit methods ⋮ Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping

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