Department of Mathematics,
National Institute of Technology, Rourkela
10.22075/ijnaa.2019.12171.1615
Abstract
In the setting of non-reflexive spaces (Grothendieck Banach spaces), we establish (1) ran (A+B)=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.
Pradhan, D. (2021). On sum of range sets of sum of two maximal monotone operators. International Journal of Nonlinear Analysis and Applications, 12(1), 927-934. doi: 10.22075/ijnaa.2019.12171.1615
MLA
Dillip Kumar Pradhan. "On sum of range sets of sum of two maximal monotone operators". International Journal of Nonlinear Analysis and Applications, 12, 1, 2021, 927-934. doi: 10.22075/ijnaa.2019.12171.1615
HARVARD
Pradhan, D. (2021). 'On sum of range sets of sum of two maximal monotone operators', International Journal of Nonlinear Analysis and Applications, 12(1), pp. 927-934. doi: 10.22075/ijnaa.2019.12171.1615
VANCOUVER
Pradhan, D. On sum of range sets of sum of two maximal monotone operators. International Journal of Nonlinear Analysis and Applications, 2021; 12(1): 927-934. doi: 10.22075/ijnaa.2019.12171.1615
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