Titlebook: Convex Analysis and Monotone Operator Theory in Hilbert Spaces; Heinz H. Bauschke,Patrick L. Combettes Book 2017Latest edition Springer In

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https://doi.org/10.1007/978-3-319-48311-5Convex analysis; monotone operator; nonexpansive operator; proximal algorithm; fixed point algorithm; ope

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https://doi.org/10.1057/9781137508416y fruitful in many branches of nonlinear analysis. For instance, closed convex cones provide decompositions analogous to the well-known orthogonal decomposition based on closed linear subspaces. They also arise naturally in convex analysis in the local study of a convex set via the tangent cone and

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https://doi.org/10.1057/9781137519269ysis, the most suitable notion of a transform is the Legendre transform, which maps a function to its Fenchel conjugate. This transform is studied in detail in this chapter. In particular, it is shown that the conjugate of an infimal convolution is the sum of the conjugates. The key result of this c

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