Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Authors:
Heinz H. Bauschke;Patrick L. Combettes
Affiliations:
-;-
Venue:
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Year:
2011

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Abstract

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.