Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization (Applied Optimization, 40)
ISBN-13:
9789401057882
ISBN-10:
9401057885
Edition:
Softcover reprint of the original 1st ed. 2000
Author:
D. Butnariu, A.N. Iusem
Publication date:
2012
Publisher:
Springer
Format:
Paperback
221 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9789401057882
ISBN-10:
9401057885
Edition:
Softcover reprint of the original 1st ed. 2000
Author:
D. Butnariu, A.N. Iusem
Publication date:
2012
Publisher:
Springer
Format:
Paperback
221 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
Summary
Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization (Applied Optimization, 40) (ISBN-13: 9789401057882 and ISBN-10: 9401057885), written by authors
D. Butnariu, A.N. Iusem, was published by Springer in 2012.
With an overall rating of 4.0 stars, it's a notable title among other
Applied
(Mathematical Analysis, Mathematics) books. You can easily purchase or rent Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization (Applied Optimization, 40) (Paperback) from BooksRun,
along with many other new and used
Applied
books
and textbooks.
And, if you're looking to sell your copy, our current buyback offer is $0.3.
Description
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 Banach spaces was started in [33] where it was shown that they are useful tools for extrapolating properties commonly known to belong to operators satisfying demanding contractivity requirements to classes of operators which are not even mildly nonexpansive.
We would LOVE it if you could help us and other readers by reviewing the book
Book review
Congratulations! We have received your book review.
{user}
{createdAt}
by {truncated_author}