On sum of range sets of sum of two maximal monotone operators

Author(s):

Dillip Kumar Pradhan

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

Monotone Operator , Maximal Monotone Operator , Ultramaximal MonotoneOperator , Br´ezis-Haraux conditions

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
927 to 934
https://www.magiran.com/p2261267