TY - JOUR
ID - 4947
TI - On sum of range sets of sum of two maximal monotone operators
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Pradhan, Dillip Kumar
AU - Pattanaik, Suvendu Ranjan
AD - Department of Mathematics,
National Institute of Technology, Rourkela, India
AD - Department of Mathematics, National Institute of Technology, Rourkela, India
Y1 - 2021
PY - 2021
VL - 12
IS - 1
SP - 927
EP - 934
KW - monotone operator
KW - Maximal Monotone Operator
KW - Ultramaximal Monotone Operator
KW - Br$acute{e}$zis-Haraux conditions
DO - 10.22075/ijnaa.2019.12171.1615
N2 - In the setting of non-reflexive spaces (Grothendieck Banach spaces), we establish (1) $\overline{ran (A+B)}=\overline{ran A+ran B}$(2) int (ran (A+B))=int(ran A+ran B).with the assumption that A is a maximal monotone operator and B is a single-valued maximal monotone operator such that A+B is ultramaximally monotone. Conditions (1) and (2) are known as Br$\acute{e}$zis-Haraux conditions.
UR - https://ijnaa.semnan.ac.ir/article_4947.html
L1 - https://ijnaa.semnan.ac.ir/article_4947_b975f080c7f786e01df5b1594445f48c.pdf
ER -