A general iterative method of fixed points for equilibrium problems and optimization problems

DOI10.1007/s11424-009-9182-6zbMath1186.47082OpenAlexW2055896819MaRDI QIDQ968000

Fang Zhang, Yongfu Su

Publication date: 3 May 2010

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-009-9182-6

zbMATH Keywords

strong convergencevariational inequalityoptimization problemequilibrium problemnonexpansive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items

A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Equilibrium programming using proximal-like algorithms
• An iterative approach to quadratic optimization
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
• Quadratic optimization of fixed points of nonexpansive mappings in hubert space
• Weak convergence of the sequence of successive approximations for nonexpansive mappings