Fixed point solutions of generalized equilibrium problems for nonexpansive mappings

DOI10.1016/j.cam.2010.01.055zbMath1189.47069OpenAlexW2049294189MaRDI QIDQ966102

Yekini Shehu

Publication date: 27 April 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.01.055

zbMATH Keywords

fixed pointsstrong convergenceHilbert spacesnonexpansive mappingsvariational inequality problemsgeneralized equilibrium problems

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

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• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• Construction of fixed points of nonlinear mappings in Hilbert space
• Nonlinear monotone operators and convex sets in Banach spaces