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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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Monotone Operator Methods for Nash Equilibria in Non-potential Games,We observe that a significant class of Nash equilibrium problems in non-potential games can be associated with monotone inclusion problems. We propose splitting techniques to solve such problems and establish their convergence. Applications to generalized Nash equilibria, zero-sum games, and cyclic proximation problems are demonstrated.
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The Largest Roots of the Mandelbrot Polynomials,This 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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Visible Points in Convex Sets and Best Approximation,The concept of a . of a convex set relative to a given point is introduced. A number of basic properties of such visible point sets are developed. In particular, it is shown that this concept is useful in the study of best approximation, and it also seems to have potential value in the study of robotics.
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2194-1009 for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Gri978-1-4939-4234-3978-1-4614-7621-4Series ISSN 2194-1009 Series E-ISSN 2194-1017
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https://doi.org/10.1007/978-3-0348-6894-5-normal. We then show that a practical and reasonably effective pseudorandom number generator can be defined based on the binary digits of this constant and conclude by sketching out some directions for further research.
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https://doi.org/10.1007/978-3-322-80101-2um of two maximally monotone linear relations. We also present a new proof of the maximality of the sum of a maximally monotone linear relation and a normal cone operator when the domain of the linear relation intersects the interior of the domain of the normal cone.
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