| 书目名称 | Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization |
| 编辑 | Dan Butnariu,Alfredo N. Iusem |
| 视频video | http://file.papertrans.cn/927/926660/926660.mp4 |
| 丛书名称 | Applied Optimization |
| 图书封面 |  |
| 描述 | The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea surable families of operators and optimization methods in infinite dimen sional settings. The notion of totally convex function was first studied by Butnariu, Censor and Reich [31] in the context of the space lRR because of its usefulness for establishing convergence of a Bregman projection method for finding common points of infinite families of closed convex sets. In this finite dimensional environment total convexity hardly differs from strict convexity. In fact, a function with closed domain in a finite dimensional Banach space is totally convex if and only if it is strictly convex. The relevancy of total convexity as a strengthened form of strict convexity becomes apparent when the Banach space on which the function is defined is infinite dimensional. In this case, total convexity is a property stronger than strict convexity but weaker than locally uniform convexity (see Section 1.3 below). The study of totally convex functions in infinite dimensional |
| 出版日期 | Book 2000 |
| 关键词 | Banach Space; Convexity; Dimension; Integral equation; Optimal control; algorithms; control; functional ana |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-011-4066-9 |
| isbn_softcover | 978-94-010-5788-2 |
| isbn_ebook | 978-94-011-4066-9Series ISSN 1384-6485 |
| issn_series | 1384-6485 |
| copyright | Springer Science+Business Media Dordrecht 2000 |
|Archiver|手机版|小黑屋|
派博传思国际
( 京公网安备110108008328)
GMT+8, 2025-8-5 09:26
发表于 2025-3-21 19:21:51
