An iterative method for a common solution of generalized mixed equilibrium problems, variational inequalities, and hierarchical fixed point problems
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Publication:2406137
DOI10.1186/1687-1812-2014-155zbMath1376.49007OpenAlexW2122773914WikidataQ59323499 ScholiaQ59323499MaRDI QIDQ2406137
Publication date: 26 September 2017
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-155
variational inequalitiesprojection methodfixed point problemhierarchical fixed point problemgeneralized mixed problem
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Hierarchical systems (93A13) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)
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Cites Work
- Unnamed Item
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- Hybrid iterative method for finding common solutions of generalized mixed equilibrium and fixed point problems
- Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points
- Some iterative methods for finding fixed points and for solving constrained convex minimization problems
- The system of generalized vector equilibrium problems with applications
- Iterative algorithms for hierarchical fixed points problems and variational inequalities
- Explicit hierarchical fixed point approach to variational inequalities
- Averaged mappings and the gradient-projection algorithm
- Strong convergence algorithms for hierarchical fixed points problems and variational inequalities
- Strong and weak convergence theorems for generalized mixed equilibrium problem with perturbation and fixed pointed problem of infinitely many nonexpansive mappings
- Iterative methods for triple hierarchical variational inequalities in Hilbert spaces
- Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
- General convergence analysis for two-step projection methods and applications to variational problems
- Moudafi's viscosity approximations with Meir--Keeler contractions
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem
- A general iterative algorithm for nonexpansive mappings in Hilbert spaces
- A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
- On a two-step algorithm for hierarchical fixed point problems and variational inequalities
- Solving generalized mixed equilibria, variational inequalities, and constrained convex minimization
- Hybrid viscosity approaches to general systems of variational inequalities with hierarchical fixed point problem constraints in Banach spaces
- A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem
- Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities
- Implicit and explicit iterative methods for systems of variational inequalities and zeros of accretive operators
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- An iterative method for finding common solutions of equilibrium and fixed point problems
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
- Systems of generalized variational inequalities and their applications∗
- Iterative Algorithms for Nonlinear Operators
- A Hierarchical Presentation of Operators with Fixed Points on Hilbert Spaces
- On the Maximality of Sums of Nonlinear Monotone Operators
- Krasnoselski–Mann iteration for hierarchical fixed-point problems
- A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
