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Titlebook: Computational and Analytical Mathematics; In Honor of Jonathan David H. Bailey,Heinz H. Bauschke,Henry Wolkowicz Conference proceedings 201

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W. I. Fushchich,W. M. Shtelen,N. I. Serov emphasis on the efficiency of the latter), in treating problems that come from the general variational analysis when applied in substantial or virtual presence of convexity. We discuss a number of relating problems: error bounds, metric regularity, linear openness, and stability as well as first-or
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New Demiclosedness Principles for (Firmly) Nonexpansive Operators,ore flexible by two mutually orthogonal affine subspaces. Versions for finitely many (firmly) nonexpansive operators are presented. As an application, a simple proof of the weak convergence of the Douglas-Rachford splitting algorithm is provided.
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Upper Semicontinuity of Duality and Preduality Mappings,elated these by an interesting geometrical property. This property actually characterises Hausdorff upper semicontinuity of the preduality mapping. When the duality mapping is Hausdorff upper semicontinuous with weakly compact image, we investigate how this same property persists with natural embedding into higher duals.
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https://doi.org/10.1007/978-3-7643-7555-3This paper gives some details of the experimental discovery and partial proof of a simple asymptotic development for the largest magnitude roots of the Mandelbrot polynomials defined by ..(.) = 1 and ..
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Symmetry in geometrical decorative artWe give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative.
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