%0 Journal Article
%T On sum of range sets of sum of two maximal monotone operators
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Pradhan, Dillip Kumar
%A Pattanaik, Suvendu Ranjan
%D 2021
%\ 05/01/2021
%V 12
%N 1
%P 927-934
%! On sum of range sets of sum of two maximal monotone operators
%K monotone operator
%K Maximal Monotone Operator
%K Ultramaximal Monotone Operator
%K Br$acute{e}$zis-Haraux conditions
%R 10.22075/ijnaa.2019.12171.1615
%X 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.
%U https://ijnaa.semnan.ac.ir/article_4947_b975f080c7f786e01df5b1594445f48c.pdf