Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 1 2021 05 01 On sum of range sets of sum of two maximal monotone operators 927 934 4947 10.22075/ijnaa.2019.12171.1615 EN Dillip Kumar Pradhan Department of Mathematics, National Institute of Technology, Rourkela, India Suvendu Ranjan Pattanaik Department of Mathematics, National Institute of Technology, Rourkela, India Journal Article 2017 08 05 In the setting of non-reflexive spaces (Grothendieck Banach spaces), we establish <br />(1) $\overline{ran (A+B)}=\overline{ran A+ran B}$<br />(2) int (ran (A+B))=int(ran A+ran B).<br />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. https://ijnaa.semnan.ac.ir/article_4947_b975f080c7f786e01df5b1594445f48c.pdf