Title :
A Strong Convergence Theorem for the Equilibrium Problem and a Relatively Nonexpansive Mapping in a Banach Space
Author :
Yang Xue ; Su Yong-Fu
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
The purpose of this paper is to propose a C-Q method for finding a common element of the fixed point of the equilibrium problem and a relatively nonexpansive mapping in a Banach space, then we obtain a strong convergence theorem. The result of this paper improved and extended the results of some others in some respects.
Keywords :
Banach spaces; convergence; set theory; Banach space; C-Q method; closed convex subset; equilibrium problem; relatively nonexpansive mapping; strong convergence theorem; Convergence; Environmental factors; Finance; Industrial economics; Mathematics; Operations research; a Banach space; a relatively nonexpansive mapping; an equilibrium problem;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.286
