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Errors are robustly tamed in cumulative knowledge processes. [PDF]
Brandenberger A +3 more
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Dissecting gene expression heterogeneity: generalized Pearson correlation squares and the <i>K</i>-lines clustering algorithm. [PDF]
Li JJ, Zhou HJ, Bickel PJ, Tong X.
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A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
SIAM Journal on Control and Optimization, 2000Summary: We consider the forward-backward splitting method for finding a zero of the sum of two maximal monotone mappings. This method is known to converge when the inverse of the forward mapping is strongly monotone. We propose a modification to this method, in the spirit of the extragradient method for monotone variational inequalities, under which ...
Paul Tseng
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On the homotopy property of topological degree for maximal monotone mappings
Applied Mathematics and Computation, 2009The purpose of the present paper is to study a homotopy property of the degree for maximal monotone mappings, and fill the lack of this important property in one of the papers of the first author [Appl.\ Math.\ Mech., Engl.\ Ed.\ 11, No.\,5, 441--454 (1990; Zbl 0895.47044)].
Yuqing Chen, Donal O'Regan
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The surjectivity of semiregular maximal monotone random mappings
rose, 2002Let \(\Omega\) be a complete measurable space with a \(\sigma\)-algebra \(\Sigma\) and let \(X\) be a Banach space with its dual \(X^*\). Let \(D\) be a subset of \(X\). A mapping \(A: D\to X^*\) is called 1) monotone if \(\langle Ax-Ay,x-y \rangle\geq 0,\forall x,y\in D\); 2) maximal monotone if \(A\) is monotone and from \((x_0,x_0^*)\in X\times X^*,\
Chuong, Nguyen Minh, Thuan, Nguyen Xuan
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Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongfu Su, Mengqin Li, Hong Zhang
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongfu Su, Mengqin Li, Hong Zhang
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Differential Inclusions with Maximal Monotone Maps
1984We devote this chapter to a very important class of differential inclusions $$x'\left( t \right) \in - A\left( {x\left( t \right)} \right)$$ (1) where A(x) ≐ −F(x)is a so-called “maximal monotone” set-valued map.
Jean-Pierre Aubin, Arrigo Cellina
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Relatively maximal monotone mappings and applications to general inclusions
Applicable Analysis, 2012Based on the relative maximal monotonicity frameworks, the approximation solvability of a general class of variational inclusion problems is explored, while generalizing most of the investigations on weak convergence using the proximal point algorithm in a real Hilbert space setting.
Ravi P. Agarwal, Ram U. Verma
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