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A General Sum Theorem for Maximality of Monotone Operators

Eberhard, Andrew C. and Borwein, Jonathan M. (2007) A General Sum Theorem for Maximality of Monotone Operators.

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Abstract

We establish maximality of the sum of two maximal monotone operators in general Banach space, assuming only the Rockafellar qualification assumption. This resolves, affirmatively, a thirty-five year old conjecture.

Item Type: Article
Additional Information: pubdom FALSE
Uncontrolled Keywords: Maximal monotone operators, convex analysis, Fitzpatrick function, Fenchel duality, sum theorem.
Subjects: 46-xx Functional analysis > 46Nxx Miscellaneous applications of functional analysis
49-xx Calculus of variations and optimal control; optimization > 49Jxx Existence theories
46-xx Functional analysis > 46Axx Topological linear spaces and related structures
47-xx Operator theory > 47Hxx Nonlinear operators and their properties
Faculty: UNSPECIFIED
Depositing User: lingyun ye
Date Deposited: 29 Oct 2007
Last Modified: 26 Feb 2015 15:12
URI: https://docserver.carma.newcastle.edu.au/id/eprint/378

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