Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space
From MaRDI portal
Publication:359909
DOI10.1186/1687-1812-2011-91zbMath1270.47057OpenAlexW2137335457WikidataQ59267631 ScholiaQ59267631MaRDI QIDQ359909
Yeol Je Cho, Zhong-Ping Wan, Jia-wei Chen
Publication date: 23 August 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2011-91
strong convergenceweak convergencefixed pointequilibrium problemshrinking projection algorithmsunny generalized nonexpansive retraction
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Mathematical programming (90C99)
Related Items
Scalar gap functions and error bounds for generalized mixed vector equilibrium problems with applications ⋮ Convergence of a hybrid iterative scheme for fixed points of nonexpansive maps, solutions of equilibrium, and variational inequalities problems ⋮ The hybrid algorithm for the system of mixed equilibrium problems, the general system of finite variational inequalities and common fixed points for nonexpansive semigroups and strictly pseudo-contractive mappings ⋮ Levitin-Polyak well-posedness by perturbations for systems of set-valued vector quasi-equilibrium problems ⋮ Bilevel invex equilibrium problems with applications ⋮ Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces ⋮ Semicontinuity for parametric Minty vector quasivariational inequalities in Hausdorff topological vector spaces
Cites Work
- Nonexpansive retractions onto closed convex cones in Banach spaces
- Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- An iterative algorithm for solving fixed point problems, variational inequality problems and mixed equilibrium problems
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems
- Hybrid proximal-point methods for common solutions of equilibrium problems and zeros of maximal monotone operators
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- A new projection and convergence theorems for the projections in Banach spaces
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- Inequalities in Banach spaces with applications
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Generalized Projection Operators in Banach Spaces: Properties and Applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
