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[email protected] 1999 by Marcel Dekker, Inc. All Rights Reserved. Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage and retrieval system, without permission in writing from the publisher. Current printing (last digit) 10 9 8 7 6 5 4 3 2 1 PRINTED IN THE UNITED STATES OF AMERICA This Page Intentionally Left Blank KKM THEORY AND APPLICATIONS IN NONLINEAR ANALYSIS George The Universityof Queensland Brisbane, Australia MARCEL DEKKER, INC. NEWYORK. BASEL Preface Since Knaster, Kuratowski andMazurkiewicz formulated theso-called principle in 1929, the study of nonlinear analysis associated with the KKM principle has beena rapidly developing area in mathematicswhich is emerging an independent field. Owing to the significant contributions by Professor Ky Fan in the last few decades, large part of nonlinear analysis related to the