Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
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Publication:400451
DOI10.1186/1687-1812-2013-236zbMathNoneOpenAlexW2134878622WikidataQ59299069 ScholiaQ59299069MaRDI QIDQ400451
Suthep Suantai, Aunyarat Bunyawat
Publication date: 21 August 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-236
strong convergencehybrid methodmixed equilibrium problemshrinking projection methodmultivalued nonexpansive mappings
Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- Strong convergence to solutions of generalized mixed equilibrium problems with applications
- Iterative algorithms for solving the system of mixed equilibrium problems, fixed-point problems, and variational inclusions with application to minimization problem
- Shrinking projection methods for firmly nonexpansive mappings
- Convergence theorems based on the shrinking projection method for hemi-relatively nonexpansive mappings, variational inequalities and equilibrium problems
- Strong convergence theorems for countable families of multivalued nonexpansive mappings and systems of equilibrium and variational inequality problems
- Approximation of common fixed points of two quasi-nonexpansive multi-valued maps in Banach spaces
- Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces
- Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme
- Iterative methods for family of strictly pseudocontractive mappings and system of generalized mixed equilibrium problems and variational inequality problems
- Strong convergence of an iterative scheme by a new type of projection method for a family of quasinonexpansive mappings
- Common solutions of generalized mixed equilibrium problems, variational inclusions, and common fixed points for nonexpansive semigroups and strictly pseudocontractive mappings
- One-step iterative process for a finite family of multivalued mappings
- A hybrid algorithm for pseudo-contractive mappings
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Strong convergence theorem for a family of Lipschitz pseudocontractive mappings in a Hilbert space
- A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups
- Strong convergence of composite iterative schemes for a countable family of nonexpansive mappings in Banach spaces
- Two extragradient methods for generalized mixed equilibrium problems, nonexpansive mappings and monotone mappings
- A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems
- A general iterative method for addressing mixed equilibrium problems and optimization problems
- Viscosity approximation methods for generalized mixed equilibrium problems and fixed points of a sequence of nonexpansive mappings
- An iterative algorithm combining viscosity method with parallel method for a generalized equilibrium problem and strict pseudocontractions
- A hybrid extragradient viscosity approximation method for solving equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
- An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems
- A new hybrid iterative method for mixed equilibrium problems and variational inequality problem for relaxed cocoercive mappings with application to optimization problems
- An iterative approximation method for solving a general system of variational inequality problems and mixed equilibrium problems
- Strong convergence of the iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems of an infinite family of nonexpansive mappings
- A viscosity approximation scheme for system of equilibrium problems, nonexpansive mappings and monotone mappings
- A general principle for Ishikawa iterations for multi-valued mappings
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces
- Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems
- Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
- A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
- Multi-valued contraction mappings
- Existence Theorems for Generalized Noncoercive Equilibrium Problems: The Quasi-Convex Case
- Hybrid Proximal-Type and Hybrid Shrinking Projection Algorithms for Equilibrium Problems, Maximal Monotone Operators, and Relatively Nonexpansive Mappings
- Convergence of Ishikawa Iterates for a Multi-Valued Mapping with a Fixed Point
- Applications of the Best Approximation Operator to *-Nonexpansive Maps in Hilbert Spaces