TY - JOUR
T1 - A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings
AU - Wega, Getahun B.
AU - Zegeye, Habtu
AU - Boikanyo, Oganeditse A.
N1 - Publisher Copyright:
© 2020 Getahun B. Wega et al., published by De Gruyter 2020.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems and provide a numerical example which supports our main result. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.
AB - The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems and provide a numerical example which supports our main result. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.
UR - http://www.scopus.com/inward/record.url?scp=85088983581&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85088983581&partnerID=8YFLogxK
U2 - 10.1515/dema-2020-0010
DO - 10.1515/dema-2020-0010
M3 - Article
AN - SCOPUS:85088983581
SN - 0420-1213
VL - 53
SP - 152
EP - 166
JO - Demonstratio Mathematica
JF - Demonstratio Mathematica
IS - 1
ER -