On the maximality of the sum of two maximal monotone operators [PDF]
Publicacions Matemàtiques, 1990 In this paper we deal with the maximal monotonicity of A + B when the two maximal monotone operators A and B defined in a Hilbert space X are satisfying the condition: [fórmula disponible al document original] is a closed linear subspace of X.
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Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter [PDF]
, 2009 In this paper, we give two explicit examples of unbounded linear maximal monotone operators. The first unbounded linear maximal monotone operator $S$ on $\ell^{2}$ is skew. We show its domain is a proper subset of the domain of its adjoint $S^*$, and $-S^
Bauschke, Heinz H. +2 more
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Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators
Abstract and Applied Analysis, 2009 We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method.
Chakkrid Klin-eam +2 more
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Moroccan Journal of Pure and Applied Analysis, 2022 In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(·)(Ω)
Benboubker M. B. +3 more
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Nonlinear second-order multivalued boundary value problems [PDF]
, 2003 In this paper we study nonlinear second-order differential inclusions involving the ordinary vector $p$-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions.
Gasinski, Leszek +1 more
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Parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings [PDF]
, 2005 A new class of parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings is introduced. By applying resolvent operator technique of h-maximal monotone mapping and the property of fixed point set ...
Ding, Xie Ping
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An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces
Journal of Inequalities and Applications, 2008 We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
J. C. Yao, G. Mastroeni, L. C. Ceng
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A Forward-Backward Projection Algorithm for Approximating of the Zero of the Sum of Two Operators
پژوهشهای ریاضی, 2020 Introduction One of the most important classes of mappings is the class of monotone mappings due to its various applications. For solving many important problems, it is required to solve monotone inclusion problems, for instance, evolution
Vahid Dadashi
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Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator
, 2014 Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A.
Pattanaik, S. R., Pradhan, D. K.
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Eigenvalues of quasibounded maximal monotone operators [PDF]
Journal of Inequalities and Applications, 2014 Let X be a real reflexive separable Banach space with dual space X ∗ and let L be a dense subspace of X.
Jung-Hyun Bae, In-Sook Kim
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