Strong convergence theorems by hybrid methods for a finite family of nonexpansive mappings and inverse-strongly monotone mappings

DOI10.1016/j.nahs.2009.05.004zbMath1219.49008OpenAlexW1998134452MaRDI QIDQ1036646

Sornsak Thianwan

Publication date: 13 November 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2009.05.004

zbMATH Keywords

strong convergencevariational inequalitynonexpansive mappingequilibrium problemhybrid method

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25)

Related Items

Strong and weak convergence theorems for general mixed equilibrium, general variational inequality, and fixed point problems for two nonexpansive semigroups in Hilbert spaces ⋮ Strong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mapping ⋮ On the hybrid projection method for fixed point and equilibrium problems ⋮ S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities ⋮ A fixed point method for solving a split feasibility problem in Hilbert spaces ⋮ System of generalized mixed equilibrium problems, variational inequality, and fixed point problems ⋮ A convergence theorem based on a hybrid relaxed extragradient method for generalized equilibrium problems and fixed point problems of a finite family of nonexpansive mappings

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