Strong convergence of composite general iterative methods for one-parameter nonexpansive semigroup and equilibrium problems

DOI10.1186/1029-242X-2012-131zbMathNoneWikidataQ59290020 ScholiaQ59290020MaRDI QIDQ372204

Xin Xiao, Heping Song, Suhong Li, Lingmin Zhang, Li-Hua Li

Publication date: 14 October 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

variational inequality problemequilibrium problemnonexpansive semigroupstrongly positive bounded linear operator

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Strong convergence of iterative methods for \(k\)-strictly pseudo-contractive mappings in Hilbert spaces
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
• Some results on \(k\)-strictly pseudo-contractive mappings in Hilbert spaces
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Strong convergence to common fixed points of families of nonexpansive mappings
• From scalar to vector equilibrium problems in the quasimonotone case
• Existence theory for finite-dimensional pseudomonotone equilibrium problems
• An iterative approach to quadratic optimization
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative construction of fixed points of nonself-mappings in Banach spaces
• An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings
• Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems
• An iterative method for finding common solutions of equilibrium and fixed point problems
• A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Quadratic optimization of fixed points of nonexpansive mappings in hubert space
• A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces