A Strong Convergence Theorem for RelativelyNonexpansive Mappings and EquilibriumProblems in Banach Spaces

Yuan Mei, Xi Li, Xue-song Li, John J. Liu, Xue-song Li, John J. Liu · Abstract and Applied Analysis · 2012

Relatively nonexpansive mappings and equilibrium problems are considered based on a shrinking projection method. Using properties of the generalized f‐projection operator, a strong convergence theorem for relatively nonexpansive mappings and equilibrium problems is proved in Banach spaces under some suitable conditions.

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