Convex Analysis and Monotone Operator Theory in Hilbert Spaces
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Springer International Publishing
2017
EPub, PDF
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978-3-319-48311-5
3-319-48311-0
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This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related constructive fixed point theory is presented, that allows for a wide range of algorithms to construct solutions to problems in optimization, equilibrium theory, monotone inclusions, variational inequalities, best approximation theory, and convex feasibility. The book is accessible to a broad audience, and reaches out in particular to applied scientists and engineers, to whom these tools have become indispensable.
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