A NEW GENERALIZED RESOLVENT AND APPLICATION IN BANACH MAPPINGS
Xian Wang, Jun-Min Chen, He Zhen · East Asian Mathematical Journal · 2014
In this paper, we introduce a new generalized resolvent in a Banach space and discuss its some properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.