  It is well known that many problems in image recovery, signal processing, and
machine learning can be modeled as finding zeros of the sum of maximal monotone
and Lipschitz continuous monotone operators. Many papers have studied
forward-backward splitting methods for finding zeros of the sum of two monotone
operators in Hilbert spaces. Most of the proposed splitting methods in the
literature have been proposed for the sum of maximal monotone and
inverse-strongly monotone operators in Hilbert spaces. In this paper, we
consider splitting methods for finding zeros of the sum of maximal monotone
operators and Lipschitz continuous monotone operators in Banach spaces. We
obtain weak and strong convergence results for the zeros of the sum of maximal
monotone and Lipschitz continuous monotone operators in Banach spaces. Many
already studied problems in the literature can be considered as special cases
of this paper.
