An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems
From MaRDI portal
Publication:1035113
DOI10.1155/2009/531308zbMath1186.47068OpenAlexW1971030350WikidataQ59248482 ScholiaQ59248482MaRDI QIDQ1035113
Wei-You Zeng, Nan-Jing Huang, Qing-You Liu
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/45692
Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem ⋮ Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings ⋮ Strong convergence theorem for solving generalized mixed equilibrium problems and fixed point problems for total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces ⋮ Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems ⋮ Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings ⋮ Strong convergence for generalized equilibrium problems, fixed point problems and relaxed cocoercive variational inequalities ⋮ Dynamic traffic network equilibrium system ⋮ Explicit scheme for fixed point problem for nonexpansive semigroup and split equilibrium problem in Hilbert space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Common solutions of an iterative scheme for variational inclusions, equilibrium problems, and fixed point problems
- Viscosity approximation methods for generalized mixed equilibrium problems and fixed points of a sequence of nonexpansive mappings
- Approximation of fixed points of nonexpansive mappings
- Equilibrium programming using proximal-like algorithms
- On implicit vector equilibrium problems.
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Viscosity approximation methods for nonexpansive mappings
- Existence theorems of solutions for a system of nonlinear inclusions with an application
- On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces
- Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
- Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequali\-ties
- 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
- Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Iterative Algorithms for Equilibrium Problems
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- On the Maximality of Sums of Nonlinear Monotone Operators
- Strong convergence to common fixed points of infinite nonexpansive mappings and applications
