Results 11 to 20 of about 370 (245)
Generalized monotone operators and their averaged resolvents [PDF]
Mathematical Programming, 2020 The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms. Firmly nonexpansive operators form a proper subclass of the more general - but still pleasant from an algorithmic perspective - class of averaged ...
Heinz H. Bauschke +2 more
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Convergence of positive operators [PDF]
The extension and convergence of positive operators is investigated by means of a monotone approximation technique. Some generalizations and extensions of Korovkin's monotone operator theorem on C[0, 1] are given.
James, Ralph Leland
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Generalized Monotone Operators on Dense Sets [PDF]
Numerical Functional Analysis and Optimization, 2015 19 ...
László, Szilárd, Viorel, Adrian
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Generalized Solutions for the Sum of Two Maximally Monotone Operators [PDF]
SIAM Journal on Control and Optimization, 2014 A common theme in mathematics is to define generalized solutions to deal with problems that potentially do not have solutions. A classical example is the introduction of least squares solutions via the normal equations associated with a possibly infeasible system of linear equations.
Heinz H. Bauschke +2 more
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Unfounded Sets and Well-Founded Semantics of Answer Set Programs with Aggregates [PDF]
, 2011 Logic programs with aggregates (LPA) are one of the major linguistic extensions to Logic Programming (LP). In this work, we propose a generalization of the notions of unfounded set and well-founded semantics for programs with monotone and antimonotone ...
Alviano, Mario +4 more
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An Estimate on the Flow Generated by Monotone Operators
Communications in Partial Differential Equations, 2010 In this paper we study the transport equation in the case where the vector field a(t, x) is monotone in space. The main result is a stability result w.r.t. weak convergence of a(t, x) of the corresponding flow.
Bianchini, S., Gloyer, M.
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A topological degree theory for perturbed AG(S+)-operators and applications to nonlinear problems
, 2021 Let X be a real reflexive Banach space with X⁎ its dual space and G be a nonempty and open subset of X. Let A:X⊇D(A)→2X⁎ be a strongly quasibounded maximal monotone operator and T:X⊇D(T)→2X⁎ be an operator of class AG(S+) introduced by Kittilä.
Asfaw, Teffera M. +5 more
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General monotonicity and interpolation of operators
Journal of Mathematical Analysis and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stepan M. Grigoriev +2 more
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Generalized variational inequalities for maximal monotone operators [PDF]
Indian Journal of Pure and Applied Mathematics, 2021 In this paper we present some new results on the existence of solutions of generalized variational inequalities in real reflexive Banach spaces with Fréchet differentiable norms. Moreover, we also give some theorems about the structure of solution sets. The results obtained in this paper improve and extend the ones announced by Fang and Peterson [1] to
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A class of generalized monotone operators
Journal of Mathematical Analysis and Applications, 2015 Let \(\mathcal H\) be a Hilbert space \({\mathcal D} \subseteq {\mathcal H}\), \(\eta \in (-1,1)\) and \(T: {\mathcal D} \rightarrow {\mathcal H}\) be given. The authors call \(T\) to be \(\eta\)-monotone if \(\langle Tx-Ty, x-y \rangle \geq \eta \parallel Tx-Ty \parallel \parallel x-y \parallel\) for all \(x,y \in {\mathcal D}\).
Marian, Daniela +2 more
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