Strong convergence theorems for infinite family of relatively quasi nonexpansive mappings and systems of equilibrium problems
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Publication:426538
DOI10.1016/j.amc.2011.11.001zbMath1296.47089OpenAlexW1988846762MaRDI QIDQ426538
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.2011.11.001
Banach spacesstrong convergencecommon fixed pointequilibrium problemshybrid methodgeneralized \(f\)-projection operatorconvex minimization problemuniformly smooth real Banach spacerelatively quasi nonexpansive convex Banach space mappings
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
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A new computational technique for common solutions between systems of generalized mixed equilibrium and fixed point problems ⋮ The approximation of common element for maximal monotone operator, generalized mixed equilibrium problem and fixed point problem ⋮ Convergence of an iterative method for relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces ⋮ Approximation theorems for solving common solution of a system of mixed equilibrium problems and variational inequality problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense ⋮ Uniformly closed replaced AKTT or \({^{\ast}\mathrm{AKTT}}\) condition to get strong convergence theorems for a countable family of relatively quasi-nonexpansive mappings and systems of equilibrium problems
Cites Work
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- Modified block iterative algorithm for quasi-\(\phi\)-asymptotically nonexpansive mappings and equilibrium problem in Banach spaces
- Convergence analysis for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems
- Convergence theorems of shrinking projection methods for equilibrium problem, variational inequality problem and a finite family of relatively quasi-nonexpansive mappings
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
- Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type
- A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Pareto optimality, game theory and equilibria
- Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
- Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
- An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings
- An iterative method of solution for equilibrium and optimization 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
- Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces
- Nonlinear analysis and variational problems. In Honor of George Isac
- On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems
- A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
- Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
- System of generalized vector quasi-equilibrium problems with applications to fixed point theorems for a family of nonexpansive multivalued mappings
- Geometric properties of Banach spaces and nonlinear iterations
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- Encyclopedia of Optimization
- 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
- The generalised f-projection operator with an application
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