A weak convergence theorem for relatively nonexpansive mappings and maximal monotone operators in a Banach space
Journal of Applied and Numerical Optimization · 2021
In this paper, using the idea of Mann's iteration, we prove a weak convergence theorem for finding a common element of the fixed point sets of two relatively nonexpansive mappings and the zero point set of a maximal monotone operator in a Banach space.We apply this result to get well-known and new weak convergence theorems which are connected with relatively nonexpansive mappings and maximal monotone operators in Hilbert spaces and in Banach spaces.