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Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum monotone operators
maximal monotone operator monotone inclusion nonsmooth convex optimization parallel sum set-valued duality splitting algorithm
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2011/8/22
Abstract: We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions, and parallel sums of set-valued and Lipschitzian operators. An ...
Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators
Nonlinear Evolution Equations Locally Monotone Operators
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2010/11/9
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical resu...
Unbounded Linear Monotone Operators on Nonreflexive Banach Spaces
Linear Monotone Operators Nonreflexive Banach Spaces
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2009/1/23
This study of unbounded linear monotone operators $T\colon E \to E^*$ for nonreflexive Banach spaces $E$ was motivated by the (still open) problem of distinguishing between several well-studied classe...
Regular Maximal Monotone Operators and the Sum Theorem
Maximal Monotone Operators Sum Theorem
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2009/1/13
In this note, which is a continuation of [17], we study two classes of maximal monotone operators on general Banach spaces which we call ${\cal C}_0$ (resp. ${\cal C}_1$)-{\mit regular}. All maximal m...