9780792362876 - Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization (Applied Optimization, Band 40) von Butnariu, D.; Iusem, A.N. (5 Ergebnisse)

Hardcover. Octavo, 202 pages. In Very Good minus condition. White spine with yellow and purple text. Yellow text on spine is barely legible. Boards have mild shelfwear, rubbing to corners, and bumping to spine edges. Textblock clean. NOTE: Shelved in Netdesk Column R (ND-R). 1377333. FP New Rockville Stock.

Zustand: New. In.

Hardcover. Zustand: Brand New. 1st edition. 202 pages. 9.50x6.25x0.75 inches. In Stock.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many constraints. For instance, methods like the simultaneous projection algorithm for feasibility, the proximal point algorithm and the augmented Lagrangian algorithm are rigorously formulated and analyzed in this general setting and shown to be applicable to much wider classes of problems than previously known. For this purpose, a new basic concept, `total convexity', is introduced. Its properties are deeply explored, and a comprehensive theory is presented, bringing together previously unrelated ideas from Banach space geometry, finite dimensional convex optimization and functional analysis. For making our general approach possible we had to improve upon classical results like the Hölder-Minkowsky inequality of Lp. All the material is either new or very recent, and has never been organized in a book. Audience: This book will be of interest to both researchers in nonlinear analysis and to applied mathematicians dealing with numerical solution of integral equations, equilibrium problems, image reconstruction, optimal control, etc.

Zustand: New. The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many con.