A Strong Convergence Theorem for Relatively Nonexpansive Mappings and Equilibrium Problems in Banach Spaces

Mei Yuan, Xi Li, Xue-song Li and John J. Liu

Abstract and Applied Analysis, 2012, vol. 2012, 1-12

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:498487

DOI: 10.1155/2012/498487

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