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Mathematics General

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

by (author) Heinz H. Bauschke & Patrick L. Combettes

Initial publish date
Mar 2017
  • Hardback

    Publish Date
    Mar 2017
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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.

About the authors

Contributor Notes

Heinz H. Bauschke is a Full Professor of Mathematics at the Kelowna campus of the University of British Columbia, Canada.

Patrick L. Combettes, IEEE Fellow, was on the faculty of the City University of New York and of Université Pierre et Marie Curie - Paris 6 before joining North Carolina State University as a Distinguished Professor of Mathematics in 2016.