Strong convergence theorem by a new hybrid method for equilibrium problems and variational inequality problems

DOI10.1016/j.na.2009.07.037zbMath1225.47101OpenAlexW2000461030MaRDI QIDQ1049045

Yongfu Su, Hong-Yu Li

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.037

zbMATH Keywords

variational inequalityequilibrium problemmonotone mappingrelatively nonexpansive

Mathematics Subject Classification ID

Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) General equilibrium theory (91B50)

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Cites Work

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• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• On Some Estimates for Projection Operator in Banach Space
• On the Maximality of Sums of Nonlinear Monotone Operators
• On uniformly convex functions

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