Convex Analysis and Monotone Operator Theory in Hilbert Spaces

  title={Convex Analysis and Monotone Operator Theory in Hilbert Spaces},
  author={Heinz H. Bauschke and P. L. Combettes},
  booktitle={CMS Books in Mathematics},
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… Expand
Monotone operator theory in convex optimization
Algebraic Core and Convex Calculus without Topology
Monotonicity beyond Minty and Kato on locally convex spaces
Iterative Methods for Equilibrium Problems and Monotone Inclusion Problems in Hilbert Spaces
Structure Theory for Maximally Monotone Operators with Points of Continuity