Strong Convergence Theorem by a New Hybrid Method for Equilibrium Problems and Relatively Nonexpansive Mappings

We prove a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping in a Banach space by using a new hybrid method. Using this theorem, we obtain two new results for finding a solution o...

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Vydané v:	Fixed Point Theory and Applications Ročník 2008; s. 1 - 12
Hlavní autori:	Takahashi, Wataru, Zembayashi, Kei
Médium:	Journal Article
Jazyk:	English Japanese
Vydavateľské údaje:	Springer Science and Business Media LLC 01.01.2008 SpringerOpen
Predmet:	Analysis Applied mathematics. Quantitative methods QA299.6-433 T57-57.97
ISSN:	1687-1820, 1687-1812
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Popis
Shrnutí:	We prove a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping in a Banach space by using a new hybrid method. Using this theorem, we obtain two new results for finding a solution of an equilibrium problem and a fixed point of a relatively nonexpnasive mapping in a Banach space.
ISSN:	1687-1820 1687-1812
DOI:	10.1155/2008/528476