Strong convergence theorems for an infinite family of quasi-nonexpansive mappings and generalized equilibrium problems and variational inequality problems

DOI10.1016/j.camwa.2010.11.011zbMath1211.65061OpenAlexW2005761833MaRDI QIDQ534977

Yekini Shehu

Publication date: 10 May 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.11.011

zbMATH Keywords

strong convergencevariational inequalityHilbert spacesgeneralized equilibrium problemuniformly continuous quasi-nonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items

Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems ⋮ Algorithms for solving generalized equilibrium problems and fixed points of nonexpansive semigroups in Hilbert spaces

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