A Halpern-Mann type iteration for fixed point problems of a relatively nonexpansive mapping and a system of equilibrium problems
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Publication:642722
DOI10.1155/2011/632857zbMath1296.47078OpenAlexW2012861787WikidataQ58654365 ScholiaQ58654365MaRDI QIDQ642722
Weerayuth Nilsrakoo, Utith Inprasit
Publication date: 27 October 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/632857
fixed pointiterative methodequilibrium problemuniformly smooth Banach spacerelatively nonexpansive mappingHalpern-Mann typeuniformly convex real Banach space
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
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- Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- A new strong convergence theorem for equilibrium problems and fixed point problems in Banach spaces
- Iterative methods for equilibrium problems, variational inequalities and fixed points
- Convergence analysis for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
- A new iterative scheme for countable families of weak relatively nonexpansive mappings and system of generalized mixed equilibrium problems
- A modified Halpern-type iteration algorithm for a family of hemi-relatively nonexpansive mappings and systems of equilibrium problems in Banach spaces
- Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
- Moudafi's viscosity approximations with Meir--Keeler contractions
- Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Approximation of common fixed points of a countable family of relatively nonexpansive mappings
- On the fixed-point set of a family of relatively nonexpansive and generalized nonexpansive mappings
- Hybrid methods for equilibrium problems and fixed points problems of a countable family of relatively nonexpansive mappings in Banach spaces
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
- Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces
- Iterative algorithms for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of families and semigroups of nonexpansive mappings
- A strong convergence theorem for common fixed points of two relatively nonexpansive mappings and its applications
- Equilibrium programming using proximal-like algorithms
- Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
- Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces
- A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities
- Strong convergence theorems for relatively nonexpansive mappings in a Banach space
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- On a hybrid method for a family of relatively nonexpansive mappings in a Banach space
- Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces
- Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
- Inequalities in Banach spaces with applications
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Another control condition in an iterative method for nonexpansive mappings
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
