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, E
To the theory of operator monotone and operator convex functions
β Scribed by Dinh Trung Hoa; O. E. Tikhonov
- Book ID
- 111503433
- Publisher
- Allerton Press, Inc.
- Year
- 2010
- Tongue
- English
- Weight
- 508 KB
- Volume
- 54
- Category
- Article
- ISSN
- 1066-369X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
to marvin rosenblum, with best wishes on the occasion of his retirement Several extensions of Loewner's theory of monotone operator functions are given. These include a theorem on boundary interpolation for matrix-valued functions in the generalized Nevanlinna class. The theory of monotone operator
In this paper, E is a real Banach space, A : E\*\* = E\*\* Βͺ E\* is a semi-monotone operator. We first study the variational inequality problem: Find u g K, such Ε½ Ε½ . . that A u, u , Β¨y u G 0, where K ; E\*\* is a closed convex subset; then the Ε½ . operator equation A u, u s p\*, and we also constr