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on sum of range sets of sum of two maximal monotone operators
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نویسنده
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pradhan dillip kumar ,pattanaik suvendu ranjan
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 1 - صفحه:927 -933
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چکیده
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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 brézis-haraux conditions.
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کلیدواژه
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monotone operator ,maximal monotone operator ,ultramaximal monotone operator ,brézis-haraux conditions
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آدرس
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national institute of technology, department of mathematics, india, national institute of technology, department of mathematics, india
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پست الکترونیکی
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pattanaiks@nitrkl.ac.in
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Authors
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