Convergence analysis for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems
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Publication:547982
DOI10.1016/j.amc.2011.03.147zbMath1308.47074OpenAlexW1970256150MaRDI QIDQ547982
Publication date: 27 June 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.147
equilibrium problemshybrid methodgeneralized \(f\)-projection operatorrelatively quasi nonexpansive mappingsuniformly convex and uniformly smooth real Banach spaces
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
- 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
- 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
- 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
