---
res:
bibo_abstract:
- 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.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Yekini
foaf_name: Shehu, Yekini
foaf_surname: Shehu
foaf_workInfoHomepage: http://www.librecat.org/personId=3FC7CB58-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0001-9224-7139
bibo_doi: 10.1007/s00025-019-1061-4
bibo_issue: '4'
bibo_volume: 74
dct_date: 2019^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/1422-6383
- http://id.crossref.org/issn/1420-9012
dct_language: eng
dct_publisher: Springer@
dct_title: Convergence results of forward-backward algorithms for sum of monotone
operators in Banach spaces@
...