Convergence theorems for equilibrium problems and fixed point problems of a finite family of asymptotically \(k\)-strictly pseudocontractive mappings in the intermediate sense

DOI10.1016/j.camwa.2010.10.034zbMath1208.47065OpenAlexW2029318281WikidataQ112880432 ScholiaQ112880432MaRDI QIDQ630727

Gang Cai, Chang Song Hu

Publication date: 19 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.10.034

zbMATH Keywords

strong convergenceweak convergencefixed pointequilibrium problemhybrid iterative method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Approximation analysis for a common fixed point of finite family of mappings which are asymptotically \(k\)-strict pseudocontractive in the intermediate sense ⋮ An approximate solution to the fixed point problems for an infinite family of asymptotically strictly pseudocontractive mappings in the intermediate sense, cocoercive quasivariational inclusions problems and mixed equilibrium problems in Hilbert spaces ⋮ Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces ⋮ Unnamed Item ⋮ Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems ⋮ Strong Convergence Theorems for the Generalized Viscosity Implicit Rules of Asymptotically Nonexpansive Mappings in the Intermediate Sense in Hilbert Spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
• A hybrid iterative scheme for asymptotically \(k\)-strict pseudo-contractions in Hilbert spaces
• Asymptotically strict pseudocontractive mappings in the intermediate sense
• Approximation of fixed points of nonexpansive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Equilibrium programming using proximal-like algorithms
• Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
• Strong convergence of the CQ method for fixed point iteration processes
• Iterative Algorithms for Nonlinear Operators
• Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Mean Value Methods in Iteration

This page was built for publication: Convergence theorems for equilibrium problems and fixed point problems of a finite family of asymptotically \(k\)-strictly pseudocontractive mappings in the intermediate sense