A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert spaces

DOI10.1155/2009/519065zbMath1186.47079OpenAlexW2083406209WikidataQ59220386 ScholiaQ59220386MaRDI QIDQ1035112

Rabian Wangkeeree, Rattanaporn Wangkeeree

Publication date: 10 November 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45691

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (11)

An iterative approximation scheme for solving a split generalized equilibrium, variational inequalities and fixed point problems ⋮ Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems ⋮ A new general system of generalized nonlinear mixed composite-type equilibria and fixed point problems with an application to minimization problems ⋮ Iterative methods for family of strictly pseudocontractive mappings and system of generalized mixed equilibrium problems and variational inequality problems ⋮ A hybrid extragradient method for approximating the common solutions of a variational inequality, a system of variational inequalities, a mixed equilibrium problem and a fixed point problem ⋮ Unnamed Item ⋮ A system of generalized mixed equilibrium problems and fixed point problems for pseudocontractive mappings in Hilbert spaces ⋮ Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications ⋮ A new general iterative scheme for split variational inclusion and fixed point problems of \(k\)-strict pseudo-contraction mappings with convergence analysis ⋮ Approximation of common solutions to system of mixed equilibrium problems, variational inequality problem, and strict pseudo-contractive mappings ⋮ Strong convergence theorems for family of nonexpansive mappings and system of generalized mixed equilibrium problems and variational inequality problems

Cites Work

• Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
• A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Approximation of a zero point of accretive operator in Banach 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
• An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings
• Strong convergence of the modified Mann iterative method for strict pseudo-contractions
• A general iterative method for solving the variational inequality problem and fixed point problem of an infinite family of nonexpansive mappings in Hilbert spaces
• A new hybrid iterative method for solution of equilibrium problems and fixed point problems for an inverse strongly monotone operator and a nonexpansive mapping
• An iterative approximation method for solving a general system of variational inequality problems and mixed equilibrium problems
• Hybrid iterative scheme by a relaxed extragradient method for solutions of equilibrium problems and a general system of variational inequalities with application to optimization
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Finite termination of the proximal point algorithm
• Approximation of fixed points of nonexpansive mappings
• An example concerning fixed points
• A note on approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Regularization of nonlinear ill-posed variational inequalities and convergence rates
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Equilibrium programming using proximal-like algorithms
• An iterative approach to quadratic optimization
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Strong convergence of modified Mann iterations
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• An extragradient method for fixed point problems and variational inequality problems
• Strong convergence and certain control conditions for modified Mann iteration
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequali\-ties
• Strong convergence of the CQ method for fixed point iteration processes
• A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
• Construction of fixed points of nonlinear mappings in Hilbert space
• Iterative Algorithms for Nonlinear Operators
• Monotone Operators and the Proximal Point Algorithm
• Perturbation des méthodes d'optimisation. Applications
• Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Pseudomonotone Complementarity Problems and Variational Inequalities
• Mean Value Methods in Iteration
• A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert spaces