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Wednesday, July 29, 2020 | History

4 edition of Convexity and optimization in Banach spaces found in the catalog.

Convexity and optimization in Banach spaces

by Viorel Barbu

  • 389 Want to read
  • 34 Currently reading

Published by Editura Academiei, Dordrecht, Holland, Distributors for the U.S.A. and Canada, Kluwer in București, Romania, Boston, D. Reidel, Hingham, MA, U.S.A .
Written in English

    Subjects:
  • Banach spaces.,
  • Hilbert space.,
  • Convex functions.,
  • Convex programming.

  • Edition Notes

    Other titlesConvexity and optimization.
    StatementV. Barbu and Th. Precupanu.
    SeriesMathematics and its applications. East European series, Mathematics and its applications (D. Reidel Publishing Company).
    ContributionsPrecupanu, Theodor, 1941-
    Classifications
    LC ClassificationsQA322.2 .B3513 1986
    The Physical Object
    Paginationxvii, 397 p. ;
    Number of Pages397
    ID Numbers
    Open LibraryOL3027913M
    ISBN 109027717613
    LC Control Number85008378

    convex analysis and optimization Download convex analysis and optimization or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get convex analysis and optimization book now. This site is like a library, Use search box in the widget to get ebook that you want. In SIAM J. Control, 13 (), pp. , Robinson extended Hoffman's theorem to any system of convex inequalities in a normed linear space which satisfies the Slater constraint qualification and has a bounded solution set. This paper studies any system of convex inequalities in a reflexive Banach space which has an unbounded solution by:

    An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces.1/5(1). Find many great new & used options and get the best deals for Springer Monographs in Mathematics: Convexity and Optimization in Banach Spaces by Teodor Precupanu and Viorel Barbu (, Hardcover) at the best online prices at eBay! Free shipping for many products!

    Keywords. Constrained optimization, augmented Lagrangian method, Banach space, inequality constraints, global convergence. 1 Introduction Let X, Y be (real) Banach spaces and let f: X!R, g: X!Y be given mappings. The aim of this paper is to describe an augmented Lagrangian method for the solution of the constrained optimization problem min f(x. Convex Optimization Euclidean Distance Geometry 2e by Dattorro and a great selection of related books, art and collectibles available now at


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Convexity and optimization in Banach spaces by Viorel Barbu Download PDF EPUB FB2

An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces.

The main emphasis is on applications to convex optimization and convex optimal control problems in Banach : Hardcover. An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces.

The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. Convexity and Optimization in Banach Spaces Viorel Barbu, Teodor Precupanu (auth.) An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces.

Convexity and Optimization in Banach Spaces - springer springer, An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces.

It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces.

An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces.

The main emphasis is on applications to convex optimization and convex optimal control problems in Banach : Copertina rigida. wards recent advances in structural optimization and stochastic op-timization. Our presentation of black-box optimization, strongly in-fluenced by Nesterov’s seminal book and Nemirovski’s lecture notes, includes the analysis of cutting plane methods, as well as (acceler-ated)payspecialattentiontonon-Missing: banach spaces.

Publisher Summary. This chapter describes the complex function spaces. It is assumed that A is a complex unital Banach algebra and S is the state space arising from the unit u of A. The algebraic significance of S being a split face in Z is demonstrated.

It is supposed that X is a compact Hausdorff space and C (X). An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces.

The main emphasis is on applications to convex optimization and convex optimal control problems in Banach : Springer Netherlands. Further modifications are listed and investigated in [28, 29], for extensions to convex optimization problems on Hilbert and Banach spaces see the recent papers [6, 15, 30, 34].

Request PDF | On Jan 1,Viorel Barbu and others published Convexity and optimization in Banach spaces. 4th updated and revised ed | Find, read and cite.

This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces.

Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equations are developed in this text. Convexity and optimization in Banach spaces. Bucareşti: Editura Academiei ; Alphen aan de Rijn: Sijthoff & Noordhoff, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Viorel Barbu; Theodor Precupanu.

An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces.

A distinctive feature is. This textbook provides an introduction to convex duality for optimization problems in Banach spaces, integration theory, and their application to stochastic programming problems in a static or dynamic setting.

It introduces and analyses the main algorithms for stochastic programs, while the theoretical aspects are carefully dealt with. Convexity and Optimization in Banach Spaces In a revised edition, this book presents basic results of the theory of convex sets and functions in infinite-dimensional Spaces.

Includes new results on advanced concepts of subdifferential for convex functions and new duality results in convex programming. A Banach space is uniformly convex if and only if its dual is uniformly smooth.

Every uniformly convex space is strictly convex. Intuitively, the strict convexity means a stronger triangle inequality whenever are linearly independent, while the uniform convexity requires this inequality to.

An updated and revised edition of the title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces.

* The lp and Lp Spaces 29 2. I I Banach Spaces 33 Complete Subsets 38 * Extreme Vahtes of Functionals, and Compactness 39 * Quotient Spnces 41 *2. I 5 Denseness and Separability 42 Problems 43 References 45 3 HILBERT SPACE 46 Introduction 46 ixFile Size: 6MB.

The book is organized as follows: Keeping in mind users with different backgrounds, we begin by reviewing in cannot be extended to arbitrary Banach spaces.

relevant aspects of the theory and methods of convex optimization have not been covered. The interested reader is invited to consult related works. For a more gen. This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces.

Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact .In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces.

New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on by: We propose a variant of the classical augmented Lagrangian method for constrained optimization problems in Banach spaces.

Our theoretical framework does not require any convexity or second-order assumptions, and it allows the treatment of inequality constraints with infinite-dimensional image by: 8.