Fixed Point Theory"GranasDugundji's book is an encyclopedic survey of the classical fixed point theory of continuous mappings (the work of Poincaré, Brouwer, LefschetzHopf, LeraySchauder) and all its various modern extensions. This is certainly the most learned book ever likely to be published on this subject." Felix Browder, Rutgers University "The theory of Fixed Points is one of the most powerful tools of modern mathematics. Not only is it used on a daily basis in pure and applied mathematics, but it also serves as a bridge between Analysis and Topology, and provides a very fruitful area of interaction between the two. This book contains a clear, detailed and wellorganized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications." Haïm Brézis, Université Pierre et Marie Curie "In this monograph, no effort has been spared, even to the smallest detail, be it mathematical, historical or bibliographical. In particular, the necessary background materials are generously provided for nonspecialists. In fact, the book could even serve as an introduction to algebraic topology among others. It is certain that the book will be a standard work on Fixed Point Theory for many years to come." Isaac Namioka, University of Washington This monograph gives a carefully worked out account of the most basic principles and applications of the theory of fixed points. Until now, a treatment of many of the discussed topics has been unavailable in book form. The presentation is selfcontained and is accessible to a broad spectrum of readers. The main text is complemented by numerous exercises, detailed comments, and a comprehensive bibliography. Andrzej Granas studied in Warsaw and then Moscow, where he earned his Ph.D. in 1958 under Lazar Lusternik. Since 1958, he has held various research and teaching posts in Poland, USA, Canada and elsewhere. During the Spring of 1970, he occupied a special chair at the Collège de France. In the early nineties, Dr. Granas founded and edited the journal Topological Methods of Nonlinear Analysis, and since 1992, he has served on the editorial board of the Zentralblatt. He is an Honorary Member of the Gdansk Scientific Society. The first part of this book is based on "Fixed Point Theory I" which was published by PWN, Warsaw in 1982. The second part follows the outline conceived by Andrzej Granas and the late James Dugundji.

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Contents
II  1 
IV  3 
V  4 
VI  6 
VII  9 
IX  11 
X  12 
XI  13 
CVIII  279 
CX  280 
CXI  281 
CXII  283 
CXIII  285 
CXIV  287 
CXV  289 
CXVI  292 
XII  15 
XIII  17 
XIV  23 
XV  25 
XVII  26 
XVIII  28 
XIX  29 
XX  30 
XXI  31 
XXII  34 
XXIII  37 
XXV  40 
XXVI  42 
XXVII  44 
XXVIII  46 
XXIX  48 
XXX  51 
XXXII  55 
XXXIII  57 
XXXIV  64 
XXXV  70 
XXXVI  74 
XXXVII  81 
XXXVIII  85 
XL  86 
XLI  88 
XLII  90 
XLIII  92 
XLIV  94 
XLV  95 
XLVI  96 
XLVII  98 
XLVIII  104 
XLIX  112 
LI  116 
LII  119 
LIII  120 
LIV  123 
LV  125 
LVI  126 
LVII  128 
LVIII  131 
LIX  137 
LX  142 
LXII  151 
LXIII  154 
LXIV  156 
LXV  158 
LXVI  160 
LXVII  162 
LXVIII  166 
LXIX  171 
LXX  175 
LXXI  190 
LXXII  197 
LXXIV  200 
LXXV  201 
LXXVI  203 
LXXVII  205 
LXXVIII  208 
LXXIX  212 
LXXX  214 
LXXXI  215 
LXXXII  219 
LXXXIII  221 
LXXXIV  223 
LXXXVI  226 
LXXXVII  229 
LXXXVIII  231 
LXXXIX  234 
XC  236 
XCI  237 
XCII  239 
XCIII  241 
XCIV  243 
XCV  245 
XCVI  249 
XCVII  250 
XCVIII  251 
XCIX  254 
C  258 
CI  260 
CII  262 
CIII  263 
CIV  266 
CV  268 
CVI  270 
CVII  274 
CXVII  300 
CXVIII  305 
CXX  308 
CXXI  309 
CXXII  312 
CXXIII  315 
CXXIV  317 
CXXV  321 
CXXVI  326 
CXXVII  333 
CXXVIII  338 
CXXX  344 
CXXXI  348 
CXXXII  352 
CXXXIII  354 
CXXXIV  357 
CXXXV  364 
CXXXVI  369 
CXXXVIII  378 
CXXXIX  384 
CXL  386 
CXLI  391 
CXLII  397 
CXLIII  402 
CXLIV  409 
CXLV  413 
CXLVII  418 
CXLVIII  420 
CXLIX  423 
CL  425 
CLI  426 
CLII  429 
CLIII  431 
CLIV  434 
CLV  437 
CLVI  441 
CLVIII  444 
CLIX  447 
CLX  448 
CLXI  450 
CLXII  451 
CLXIII  456 
CLXIV  458 
CLXV  463 
CLXVII  465 
CLXVIII  467 
CLXIX  469 
CLXX  471 
CLXXI  474 
CLXXII  475 
CLXXIII  483 
CLXXIV  488 
CLXXV  491 
CLXXVI  492 
CLXXVII  500 
CLXXVIII  506 
CLXXIX  511 
CLXXX  513 
CLXXXI  521 
CLXXXII  523 
CLXXXIII  531 
CLXXXV  532 
CLXXXVI  534 
CLXXXVII  536 
CLXXXVIII  537 
CLXXXIX  539 
CXC  542 
CXCI  544 
CXCII  547 
CXCIII  551 
CXCV  558 
CXCVI  565 
CXCVII  570 
CXCVIII  573 
CXCIX  588 
CCI  590 
CCII  599 
CCIII  608 
CCIV  616 
CCV  620 
CCVII  621 
CCVIII  625 
CCIX  650 
CCX  668 
672  
678  