A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces

Mei Yuan; Xi Li; Xue-Song Li; John J. Liu

doi:10.1155/2012/498487

A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces

Mei Yuan, Xi Li, Xue-Song Li, John J. Liu

College of Business

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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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. © 2012 Mei Yuan et al.

Original language	English
Article number	498487
Journal	Abstract and Applied Analysis
Volume	2012
DOIs	https://doi.org/10.1155/2012/498487
Publication status	Published - 2012

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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. {\textcopyright} 2012 Mei Yuan et al.",

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AU - Yuan, Mei

AU - Li, Xi

AU - Li, Xue-Song

AU - Liu, John J.

PY - 2012

Y1 - 2012

N2 - 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. © 2012 Mei Yuan et al.

AB - 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. © 2012 Mei Yuan et al.

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U2 - 10.1155/2012/498487

DO - 10.1155/2012/498487

M3 - RGC 21 - Publication in refereed journal

SN - 1085-3375

VL - 2012

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 498487

ER -

A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces

Abstract

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