Convex analysis and monotone operator theory in Hilbert spaces
The first edition of this book appeared in 2011 and was reviewed in [Zbl 1218.47001]. Hédy Attouch wrote with respect to the first edition in the foreword: ``Choosing to work in Hilbert spaces offers a wide range of applications, while keeping the mathematics accessible to a large audience. Each topic is developed in a self-contained fashion, and the presentation often draws on recent advances.'' All this is more than ever valid for the new edition which ``greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises. It features a new chapter on proximity operators including two sections on proximity operators of matrix functions, in addition to several new sections distributed throughout the original chapters. Many existing results have been improved, and the list of references has been updated'' (cited from the publisher's description).
scientific article; zbMATH DE number 6644703