Results 31 to 40 of about 528,162 (194)
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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Penalized wavelet monotone regression [PDF]
, 2007 In this paper we focus on nonparametric estimation of a constrained regression function using penalized wavelet regression techniques. This results into a convex op- timization problem under linear constraints.
Irène Gijbels +5 more
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The Range of a Monotone Operator
Journal of Mathematical Analysis and Applications, 1996 The author's aim is to generalize a standard result on the convexity of the range of a maximal monotone operator from reflexive to nonreflexive space. To this end he generalizes the notion of a maximal monotone operator and proceeds with purely functional analytic arguments.
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Monotone Operators Without Enlargements [PDF]
, 2013 26 ...
Borwein, Jonathan M. +2 more
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Advances in Nonlinear Analysis, 2020 In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators.
Boţ Radu Ioan +3 more
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Bishop-Phelps-Bollobás property for positive operators when the domain is L∞
Bulletin of Mathematical Sciences, 2021 We prove that the class of positive operators from L∞(μ) to Y has the Bishop-Phelps-Bollobás property for any positive measure μ, whenever Y is a uniformly monotone Banach lattice with a weak unit.
María D. Acosta +1 more
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On the sum of monotone operators.
Michigan Mathematical Journal, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Capacity Theory for Monotone Operators
Potential Analysis, 1997 42 pages, plain TeX, no ...
Dal Maso, Gianni, SKRYPNIK I. V.
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Approximating Iterations for Nonexpansive and Maximal Monotone Operators
Abstract and Applied Analysis, 2015 We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the ...
Zhangsong Yao +3 more
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Maximal monotone operators with non-maximal graphical limit
Examples and Counterexamples, 2022 We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator B in terms of existence and maximal ...
Gerd Wachsmuth
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