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.This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space.

Title | : | Convex Analysis and Monotone Operator Theory in Hilbert Spaces |

Author | : | Heinz H. Bauschke, Patrick L. Combettes |

Publisher | : | Springer Science & Business Media - 2011-04-19 |

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