Halpern-Mann’s iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
Jinhua Zhu, Shih-sen Chang · Journal of Inequalities and Applications · 2013
We investigate strong convergence for Bregman strongly nonexpansive mappings by modifying Halpern and Mann’s iterations in the framework of a reflexive Banach space. As applications, we apply our main result to problems of finding zeros of maximal monotone operators and equilibrium problems in reflexive Banach spaces. MSC: 47H05, 47H09, 47J25.