Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces
Ravi P. Agarwal, Jiawei Chen, Yeol Je Cho · Journal of Inequalities and Applications · 2013
Abstract In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the sequence generated by the proposed algorithm is derived under some suitable assumptions. These results are new and develop some recent results in this field. MSC:26B25, 47H09, 47J05, 47J25.