Strong convergence theorem for a generalized equilibrium problem and a pseudocontractive mapping in a Hilbert space

DOI10.11650/twjm/1500406022zbMath1220.49004OpenAlexW1506458631MaRDI QIDQ543030

Mu-Ming Wong, Adrian Petruşel, Lu-Chuan Ceng

Publication date: 21 June 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500406022

zbMATH Keywords

fixed pointvariational inequalitynonexpansive mappingequilibrium problemcontraction mappingpseudocontractive mappinginverse-strongly monotone mappingimplicit viscosity approximation method

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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