Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Abstract : This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness. The presentation is accessible to a broad audience and attempts to reach out in particular to the applied sciences and engineering communities, where these tools have become indispensable. Graduate students and researchers in pure and applied mathematics will benefit from this book. It is also directed to researchers in engineering, decision sciences, economics, and inverse problems, and can serve as a reference book.
keyword : sadco
Type de document :
Ouvrage (y compris édition critique et traduction)
Springer, pp.468, 2011, 978-1-4419-9466-0. 〈10.1007/978-1-4419-9467-7〉
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https://hal.inria.fr/hal-00643354
Contributeur : Estelle Bouzat <>
Soumis le : lundi 21 novembre 2011 - 16:41:14
Dernière modification le : vendredi 31 août 2018 - 09:06:02

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H.H. Bauschke, Patrick Louis Combettes. Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer, pp.468, 2011, 978-1-4419-9466-0. 〈10.1007/978-1-4419-9467-7〉. 〈hal-00643354〉

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