@article {
author = {Pradhan, Dillip and Pattanaik, Suvendu Ranjan},
title = {On sum of range sets of sum of two maximal monotone operators},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {12},
number = {1},
pages = {927-934},
year = {2021},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2019.12171.1615},
abstract = {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.},
keywords = {monotone operator,Maximal Monotone Operator,Ultramaximal Monotone Operator,Br$acute{e}$zis-Haraux conditions},
url = {https://ijnaa.semnan.ac.ir/article_4947.html},
eprint = {https://ijnaa.semnan.ac.ir/article_4947_b975f080c7f786e01df5b1594445f48c.pdf}
}