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On sum of range sets of sum of two maximal monotone operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 75، دوره 12، شماره 1، مرداد 2021، صفحه 927-934 اصل مقاله (399.01 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.12171.1615 | ||
| نویسندگان | ||
| Dillip Kumar Pradhan* ؛ Suvendu Ranjan Pattanaik | ||
| Department of Mathematics, National Institute of Technology, Rourkela, India | ||
| تاریخ دریافت: 14 مرداد 1396، تاریخ بازنگری: 21 آبان 1398، تاریخ پذیرش: 24 آبان 1398 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Monotone Operator؛ Maximal Monotone Operator؛ Ultramaximal Monotone Operator؛ Br$\acute{e}$zis-Haraux conditions | ||
| مراجع | ||
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