Scalar and Asymptotic Scalar Derivatives Theory and Applications

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry, and applied mathematics. The theoretical results are developed in particular with respect to

  • PDF / 3,163,088 Bytes
  • 253 Pages / 441 x 666 pts Page_size
  • 77 Downloads / 188 Views

DOWNLOAD

REPORT


Springer Optimization and Its Applications VOLUME 13 Managing Editor Panos M. Pardalos (University of Florida) Editor—Combinatorial Optimization Ding-Zhu Du (University of Texas at Dallas) Advisory Board J. Birge (University of Chicago) C.A. Floudas (Princeton University) F. Giannessi (University of Pisa) H.D. Sherali (Virginia Polytechnic and State University) T. Terlaky (McMaster University) Y. Ye (Stanford University)

Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics and other sciences. The series Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multiobjective programming, description of software packages, approximation techniques and heuristic approaches.

SCALAR AND ASYMPTOTIC SCALAR DERIVATIVES Theory and Applications

By GEORGE ISAC Royal Military College of Canada, Kingston, Ontario, Canada SÁNDOR ZOLTÁN NÉMETH University of Birmingham, Birmingham, United Kingdom

123

Authors George Isac Royal Military College of Canada Department of Mathematics Kingston ON K7K 7B4 STN Forces Canada [email protected]

ISBN: 978-0-387-73987-8

Sándor Zoltán Németh The University of Birmingham School of Mathematics The Watson Building Edgbaston Birmingham B15 2TT

e-ISBN: 978-0-387-73988-5

Library of Congress Control Number: 2007934547 ¤ 2008 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper 987654321 springer.com

The sage gives without reservation. He offers all to others, and his life is more abundant. He helps al