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Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem - MaRDI portal

Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem (Q946311)

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scientific article; zbMATH DE number 5346070
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English
Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
scientific article; zbMATH DE number 5346070

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    Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem (English)
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    23 September 2008
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    The authors introduce two iterative sequences for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem in a Hilbert space. Then they show that one of the sequences converges strongly and the other converges weakly.
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    equilibrium problems
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    nonexpansive mappings
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    firmly nonexpansive mappings
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    weak and strong convergence
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    monotonicity
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