%0 Journal Article
%T New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Alizadeh, Sattar
%A Moradlou, Fridoun
%D 2018
%\ 09/01/2018
%V 9
%N 1
%P 147-159
%! New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
%K Equilibrium problems
%K Fixed point
%K Hybrid method
%K Relatively nonexpansive mapping
%K Weak convergence
%R 10.22075/ijnaa.2018.12168.1614
%X 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.
%U https://ijnaa.semnan.ac.ir/article_3087_f22c8d3c0741a826a1347239994559cd.pdf