Shrinking projection method of proximal-type for a generalized equilibrium problem, a maximal monotone operator and a pair of relatively nonexpansive mappings

DOI10.11650/TWJM/1500405805zbMath1198.49006OpenAlexW1515661165MaRDI QIDQ993620

Yeong-Cheng Liou

Publication date: 20 September 2010

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

Full work available at URL: https://doi.org/10.11650/twjm/1500405805

zbMATH Keywords

strong convergencemaximal monotone operatorgeneralized equilibrium problemrelatively nonexpansive mappinguniformly smooth and uniformly convex Banach spaceshrinking projection method of proximal-type

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)

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