We introduce a new iterative scheme for finding a common element of the solutions set of a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in a Banach space setting. Strong convergence theorems of the proposed iterative scheme are also established by the generalized projection method. Our results generalize the corresponding results in the literature.
Cholamjiak,P and Suantai,S . (2012). Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces. International Journal of Nonlinear Analysis and Applications, 3(2), 49-58. doi: 10.22075/ijnaa.2012.43
MLA
Cholamjiak,P , and Suantai,S . "Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces", International Journal of Nonlinear Analysis and Applications, 3, 2, 2012, 49-58. doi: 10.22075/ijnaa.2012.43
HARVARD
Cholamjiak P, Suantai S. (2012). 'Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces', International Journal of Nonlinear Analysis and Applications, 3(2), pp. 49-58. doi: 10.22075/ijnaa.2012.43
CHICAGO
P Cholamjiak and S Suantai, "Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces," International Journal of Nonlinear Analysis and Applications, 3 2 (2012): 49-58, doi: 10.22075/ijnaa.2012.43
VANCOUVER
Cholamjiak P, Suantai S. Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces. IJNAA. 2012;3(2):49-58. doi: 10.22075/ijnaa.2012.43
International Journal of Nonlinear Analysis and Applications