Overview
The book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. In addition, applications to sensitivity analysis of nonlinear programming problems under perturbations are studied. Properties of marginal functions associated with optimization problems are analyzed under quite general constraints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. Nonlinear programming problems involving quasidifferentiable functions are considered as well. A significant part of the results are based on theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov, and have never been published in English before. It contains all the necessary information from multivalued analysis and does not require special knowledge, but assumes basic knowledge of calculus at an undergraduate level.
Full Product Details
Author: B. Luderer ,
L. Minchenko ,
T. Satsura
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: Softcover reprint of hardcover 1st ed. 2003
Volume: 66
Dimensions:
Width: 15.50cm
, Height: 1.20cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9781441952363
ISBN 10: 1441952365
Pages: 210
Publication Date: 10 December 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
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Reviews
From the reviews: The aim of this book is to study infinite dimensional spaces, multivalued mappings and the associated marginal functions ... . The material is presented in a clear, rigorous manner. Besides the bibliographical comments ... references to the literature are given within the text. ... the unified approach to the directional differentiability of multifunctions and their associated marginal functions is a remarkable feature of the book ... . the book is a useful contribution to nonsmooth analysis and optimization. (Winfried Schirotzek, Zentralblatt MATH, Vol. 1061 (11), 2005)
From the reviews: The aim of this book is to study infinite dimensional spaces, multivalued mappings and the associated marginal functions ! . The material is presented in a clear, rigorous manner. Besides the bibliographical comments ! references to the literature are given within the text. ! the unified approach to the directional differentiability of multifunctions and their associated marginal functions is a remarkable feature of the book ! . the book is a useful contribution to nonsmooth analysis and optimization. (Winfried Schirotzek, Zentralblatt MATH, Vol. 1061 (11), 2005)
