In this paper, applying hybrid projection method, a new modified Ishikawa iteration scheme is presented for finding a common element of the solution set of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in Banach spaces. A numerical example is given and the numerical behaviour of the sequences generated by this algorithm is compared with several existence results in literature to illustrate the usability of obtained results.
Alizadeh,S and Moradlou,F . (2018). New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces. International Journal of Nonlinear Analysis and Applications, 9(1), 147-159. doi: 10.22075/ijnaa.2018.12168.1614
MLA
Alizadeh,S , and Moradlou,F . "New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces", International Journal of Nonlinear Analysis and Applications, 9, 1, 2018, 147-159. doi: 10.22075/ijnaa.2018.12168.1614
HARVARD
Alizadeh S, Moradlou F. (2018). 'New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces', International Journal of Nonlinear Analysis and Applications, 9(1), pp. 147-159. doi: 10.22075/ijnaa.2018.12168.1614
CHICAGO
S Alizadeh and F Moradlou, "New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces," International Journal of Nonlinear Analysis and Applications, 9 1 (2018): 147-159, doi: 10.22075/ijnaa.2018.12168.1614
VANCOUVER
Alizadeh S, Moradlou F. New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces. IJNAA. 2018;9(1):147-159. doi: 10.22075/ijnaa.2018.12168.1614
International Journal of Nonlinear Analysis and Applications