Extragradient methods for split feasibility problems and generalized equilibrium problems in Banach spaces
Zeynab Jouymandi, Fridoun Moradlou · Mathematical Methods in the Applied Sciences · 2017
The purpose of this paper is the presentation of a new extragradient algorithm in 2‐uniformly convex real Banach spaces. We prove that the sequences generated by this algorithm converge strongly to a point in the solution set of split feasibility problem, which is also a common element of the solution set of a generalized equilibrium problem and fixed points of of two relatively nonexpansive mappings. We give a numerical example to investigate the behavior of the sequences generated by our algorithm.