Strong convergence theorem for a generalized equilibrium problem and a \(k\)-strict pseudocontraction in Hilbert spaces

DOI10.1007/s10483-009-0602-zzbMath1177.47086OpenAlexW1996523072MaRDI QIDQ735286

Jia-lin Huang, Ruo-feng Rao, Shi Sheng Zhang

Publication date: 21 October 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0602-z

zbMATH Keywords

variational inequalityequilibrium problem\(\alpha\)-inverse strongly monotone mapping\(k\)-strict pseudocontractive mapping

Mathematics Subject Classification ID

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

Related Items (2)

A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space ⋮ System of generalized mixed equilibrium problems, variational inequality, and fixed point problems

Cites Work

• Unnamed Item
• Unnamed Item
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
• Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

This page was built for publication: Strong convergence theorem for a generalized equilibrium problem and a \(k\)-strict pseudocontraction in Hilbert spaces