Convergence theorems for mixed equilibrium problems, variational inequality problem and uniformly quasi-\(\phi \)-asymptotically nonexpansive mappings
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Publication:426385
DOI10.1016/j.amc.2011.08.099zbMath1246.65085OpenAlexW2053287237WikidataQ59307065 ScholiaQ59307065MaRDI QIDQ426385
Publication date: 11 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.099
Banach spacesvariational inequalitynonexpansive mappingsaddle point problemmixed equilibrium probleminverse-strongly monotone operatorblock hybrid projection methodblock iterative algorithmmonotone inclusion problem
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- A new modified block iterative algorithm for uniformly quasi-\(\varphi\)-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Strong convergence theorems for countable families of uniformly quasi-\(\phi\)-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems
- A modified hybrid projection method for solving generalized mixed equilibrium problems and fixed point problems in Banach spaces
- Strong convergence of monotone hybrid algorithm for hemi-relatively nonexpansive mappings
- Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
- Modified block iterative algorithm for solving convex feasibility problems in Banach spaces
- Strong convergence of generalized projection algorithms for nonlinear operators
- Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces
- Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
- Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
- Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
- Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces
- Generalized mixed equilibrium problem in Banach spaces
- Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
- Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
- The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings
- On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces
- Inequalities in Banach spaces with applications
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- On the Maximality of Sums of Nonlinear Monotone Operators
