A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem

DOI10.1155/2011/562689zbMath1216.65066OpenAlexW2055511209WikidataQ58654304 ScholiaQ58654304MaRDI QIDQ535968

Atid Kangtunyakarn

Publication date: 16 May 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228502

zbMATH Keywords

convergenceiterative algorithmvariational inequalityequilibrium problemnonexpansive mappingspseudocontractive mappingsfixed-point problems

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) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Related Items

The subgradient extragradient method for approximation of fixed-point problem and modification of equilibrium problem, A new iterative scheme for fixed point problems of infinite family of \(\kappa _{i }\)-pseudo contractive mappings, equilibrium problem, variational inequality problems, Iterative scheme for a nonexpansive mapping, an \({\eta}\)-strictly pseudo-contractive mapping and variational inequality problems in a uniformly convex and 2-uniformly smooth Banach space, A system of generalized mixed equilibrium problems, maximal monotone operators, and fixed point problems with application to optimization problems, Unnamed Item, Modified intermixed iteration for solving the split general system of variational inequality problems and applications, An intermixed iteration for constrained convex minimization problem and split feasibility problem

Cites Work

• A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• An iterative approach to quadratic optimization
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• An iterative method for finding common solutions of equilibrium and fixed point problems
• On Projection Algorithms for Solving Convex Feasibility Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item