Results 11 to 20 of about 1,185 (293)
Differential-algebraic inclusions with maximal monotone operators [PDF]
2016 IEEE 55th Conference on Decision and Control (CDC), 2016 The term differential-algebraic inclusions (DAIs) not only describes the dynamical relations using set-valued mappings, but also includes the static algebraic inclusions, and this paper considers the problem of existence of solutions for a class of such dynamical systems described by the inclusion equation for a symmetric positive semi-definite matrix ...
M. Kanat Camlibel +3 more
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NOTES ON GRAPH-CONVERGENCE FOR MAXIMAL MONOTONE OPERATORS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractWe construct a sequence {An} of maximal monotone operators with a common domain and converging, uniformly on bounded subsets, to another maximal monotone operator A; however, the sequence {t−1nAn} fails to graph-converge for some null sequence {tn}.
CIANCIARUSO, Filomena +3 more
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Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space [PDF]
Abstract and Applied Analysis, 2012 We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu +2 more
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On the local boundedness of maximal H-monotone operators [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2017 In this paper we prove that maximal H-monotone operators $T:H^n\rightrightarrows V_1$ whose domain is all the Heisenberg group $H^n$ are locally bounded. This implies that they are upper semicontinuous. As a consequence, maximal H-monotonicity of an operator on $H^n$ can be characterized by a suitable version of Minty's type theorem.
Calogero, A, Balogh, ZM, Pini, R
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Boundary of Maximal Monotone Operators Values [PDF]
Applied Mathematics & Optimization, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hantoute, Abderrahim, Nguyen, Bao Tran
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Strong convergence of an iterative sequence for maximal monotone operators in a Banach space [PDF]
Abstract and Applied Analysis, 2004 We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by ...
Fumiaki Kohsaka, Wataru Takahashi
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On the maximal monotone operators in Hadamard spaces
OptimizationIn this paper, some topics of monotone operator theory in the setting of Hadamard spaces are investigated. For a fixed element $p$ in a Hadamard space $X$, the notion of $p$-Fenchel conjugate is introduced and a type of the Fenchel-Young inequality is proved.
Ali Moslemipour +2 more
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An Implicit Algorithm for Maximal Monotone Operators and Pseudocontractive Mappings
Abstract and Applied Analysis, 2012 The purpose of this paper is to construct an implicit algorithm for finding the common solution of maximal monotone operators and strictly pseudocontractive mappings in Hilbert spaces. Some applications are also included.
Hong-Jun Li +4 more
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Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems [PDF]
Abstract and Applied Analysis, 2016 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
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Fixed Point Theory and Applications, 2009 We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of zero points of
Ming Tian, Yun Cheng
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