An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings

DOI10.1155/2008/134148zbMath1170.47051OpenAlexW2009587401WikidataQ59218217 ScholiaQ59218217MaRDI QIDQ949038

Rabian Wangkeeree

Publication date: 16 October 2008

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

Full work available at URL: https://eudml.org/doc/55910

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems, A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces, A new iterative scheme for a countable family of relatively nonexpansive mappings and an equilibrium problem in Banach spaces, An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems, A new iterative method for equilibrium problems and fixed point problems for infinite family of nonself strictly pseudocontractive mappings, Strong convergence theorems for nonlinear mappings, variational inequality problems and system of generalized mixed equilibrium problems, Iterative algorithms with perturbations for solving the systems of generalized equilibrium problems and the fixed point problems of two quasi-nonexpansive mappings, New iterative approximation methods for a countable family of nonexpansive mappings in Banach spaces, A viscosity of Cesàro mean approximation methods for a mixed equilibrium, variational inequalities, and fixed point problems, A new iterative scheme for countable families of weak relatively nonexpansive mappings and system of generalized mixed equilibrium problems, Fixed point solutions of variational inequality and generalized equilibrium problems with applications, Strong convergence theorems for infinite family of relatively quasi nonexpansive mappings and systems of equilibrium problems, Existence theorems and iterative approximation methods for generalized mixed equilibrium problems for a countable family of nonexpansive mappings, Unnamed Item, Hybrid iterative scheme for fixed point problem, infinite systems of equilibrium and variational inequality problems, An iterative method for fixed point problems, variational inclusions and generalized equilibrium problems, Strong convergence theorems for fixed point problems, variational inequality problems and system of generalized mixed equilibrium problems, Iterative algorithms for mixed equilibrium problems, system of quasi-variational inclusion, and fixed point problem in Hilbert spaces, Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications, Generalized equilibrium problems and fixed point problems for nonexpansive semigroups in Hilbert spaces, Strong convergence theorems for countable families of multivalued nonexpansive mappings and systems of equilibrium and variational inequality problems, An iterative method for mixed point problems of nonexpansive and monotone mappings and generalized equilibrium problems, Iterative approximation of countable family of relatively nonexpansive mappings and system of equilibrium problems in Banach spaces, Iterative approximation of zeroes of monotone operators and system of generalized mixed equilibrium problems, Viscosity approximations by the shrinking projection method of quasi-nonexpansive mappings for generalized equilibrium problems, A general composite algorithm for solving general equilibrium problems and fixed point problems in Hilbert spaces, Strong convergence theorems for family of nonexpansive mappings and system of generalized mixed equilibrium problems and variational inequality problems, A new hybrid iterative scheme for countable families of relatively quasi-nonexpansive mappings and system of equilibrium problems, A general iterative method for solving equilibrium problems, variational inequality problems and fixed point problems of an infinite family of nonexpansive mappings, Approximation of common solutions for system of equilibrium problems and fixed-point problems, Convergence theorems for equilibrium and fixed point problems, Unnamed Item, A hybrid extragradient viscosity approximation method for solving equilibrium problems and fixed point problems of infinitely many nonexpansive mappings, A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert spaces, A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems for nonexpansive mappings, An iterative approximation method for solving a general system of variational inequality problems and mixed equilibrium problems, Strong convergence of the iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems of an infinite family of nonexpansive mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Regularization of nonlinear ill-posed variational inequalities and convergence rates
• Equilibrium programming using proximal-like algorithms
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Viscosity approximation methods for nonexpansive mappings
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• An extragradient method for fixed point problems and variational inequality problems
• Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequali\-ties
• Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
• Construction of fixed points of nonlinear mappings in Hilbert space
• Monotone Operators and the Proximal Point Algorithm
• On the Maximality of Sums of Nonlinear Monotone Operators
• Pseudomonotone Complementarity Problems and Variational Inequalities