Electronic ISBN:  9780821876619 
Product Code:  CONM/72.E 
268 pp 
List Price:  $47.00 
MAA Member Price:  $42.30 
AMS Member Price:  $37.60 

Book DetailsContemporary MathematicsVolume: 72; 1988MSC: Primary 00;
Fixed point theory touches on many areas of mathematics, such as general topology, algebraic topology, nonlinear functional analysis, and ordinary and partial differential equations and serves as a useful tool in applied mathematics. This book represents the proceedings of an informal threeday seminar held during the International Congress of Mathematicians in Berkeley in 1986. Bringing together topologists and analysts concerned with the study of fixed points of continuous functions, the seminar provided a forum for presentation of recent developments in several different areas.
The topics covered include both topological fixed point theory from both the algebraic and geometric viewpoints, the fixed point theory of nonlinear operators on normed linear spaces and its applications, and the study of solutions of ordinary and partial differential equations by fixed point theory methods. Because the papers range from broad expositions to specialized research papers, the book provides readers with a good overview of the subject as well as a more detailed look at some specialized recent advances. 
Table of Contents

Articles

Vladimir N. Akis  Quasiretractions and the fixed point property [ MR 956474 ]

JeanBernard Baillon  Nonexpansive mapping and hyperconvex spaces [ MR 956475 ]

J.B. Baillon and N. E. Rallis  Not too many fixed points [ MR 956476 ]

M. S. Berger  Axisymmetric vortex motions with swirl [ MR 956477 ]

Robert F. Brown  Nielsen fixed point theory and parametrized differential equations [ MR 956478 ]

P. M. Fitzpatrick and Jacobo Pejsachowicz  The fundamental group of the space of linear Fredholm operators and the global analysis of semilinear equations [ MR 956479 ]

Daciberg Lima Gonçalves  Braid groups and Wecken pairs [ MR 956480 ]

Daniel H. Gottlieb  A de Moivre like formula for fixed point theory [ MR 956481 ]

M. R. Grossinho  Some existence results for nonselfadjoint problems at resonance [ MR 956482 ]

Ronald B. Guenther and John W. Lee  Topological transversality and differential equations [ MR 956483 ]

Charles L. Hagopian  Fixed points of treelike continua [ MR 956484 ]

G. Isac  Fixed point theory, coincidence equations on convex cones and complementarity problem [ MR 956485 ]

Bo Ju Jiang  A characterization of fixed point classes [ MR 956486 ]

A. G. Kartsatos and M. E. Parrott  Using fixed point theory to find the weak solutions of an abstract functionaldifferential equation [ MR 956487 ]

Michael R. Kelly  Fixed points through homotopies [ MR 956488 ]

P. Omari, G. Villari and F. Zanolin  A survey of recent applications of fixed point theory to periodic solutions of the Liénard equation [ MR 956489 ]

Jingyal Pak  On the fibered Jiang spaces [ MR 956490 ]

Sehie Park  Fixed point theorems on compact convex sets in topological vector spaces [ MR 956491 ]

J. Pejsachowicz  $K$theoretic methods in bifurcation theory [ MR 956492 ]

Carlos Prieto  Fixtheory of diagrams [ MR 956493 ]

Simeon Reich  Fixed point theory in Hilbert ball [ MR 956494 ]

B. E. Rhoades  Contractive definitions and continuity [ MR 956495 ]

Robert Sine  Remarks on a paper of W. A. Horn: “Some fixed point theorems for compact maps and flows in Banach spaces” [Trans. Amer. Math. Soc. 149 (1970), 391–404; MR0267432 (42 #2334)] [ MR 956496 ]

Friedrich Wille  On LjusternikSchnirelmann theory and degree theory [ MR 956497 ]


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Fixed point theory touches on many areas of mathematics, such as general topology, algebraic topology, nonlinear functional analysis, and ordinary and partial differential equations and serves as a useful tool in applied mathematics. This book represents the proceedings of an informal threeday seminar held during the International Congress of Mathematicians in Berkeley in 1986. Bringing together topologists and analysts concerned with the study of fixed points of continuous functions, the seminar provided a forum for presentation of recent developments in several different areas.
The topics covered include both topological fixed point theory from both the algebraic and geometric viewpoints, the fixed point theory of nonlinear operators on normed linear spaces and its applications, and the study of solutions of ordinary and partial differential equations by fixed point theory methods. Because the papers range from broad expositions to specialized research papers, the book provides readers with a good overview of the subject as well as a more detailed look at some specialized recent advances.

Articles

Vladimir N. Akis  Quasiretractions and the fixed point property [ MR 956474 ]

JeanBernard Baillon  Nonexpansive mapping and hyperconvex spaces [ MR 956475 ]

J.B. Baillon and N. E. Rallis  Not too many fixed points [ MR 956476 ]

M. S. Berger  Axisymmetric vortex motions with swirl [ MR 956477 ]

Robert F. Brown  Nielsen fixed point theory and parametrized differential equations [ MR 956478 ]

P. M. Fitzpatrick and Jacobo Pejsachowicz  The fundamental group of the space of linear Fredholm operators and the global analysis of semilinear equations [ MR 956479 ]

Daciberg Lima Gonçalves  Braid groups and Wecken pairs [ MR 956480 ]

Daniel H. Gottlieb  A de Moivre like formula for fixed point theory [ MR 956481 ]

M. R. Grossinho  Some existence results for nonselfadjoint problems at resonance [ MR 956482 ]

Ronald B. Guenther and John W. Lee  Topological transversality and differential equations [ MR 956483 ]

Charles L. Hagopian  Fixed points of treelike continua [ MR 956484 ]

G. Isac  Fixed point theory, coincidence equations on convex cones and complementarity problem [ MR 956485 ]

Bo Ju Jiang  A characterization of fixed point classes [ MR 956486 ]

A. G. Kartsatos and M. E. Parrott  Using fixed point theory to find the weak solutions of an abstract functionaldifferential equation [ MR 956487 ]

Michael R. Kelly  Fixed points through homotopies [ MR 956488 ]

P. Omari, G. Villari and F. Zanolin  A survey of recent applications of fixed point theory to periodic solutions of the Liénard equation [ MR 956489 ]

Jingyal Pak  On the fibered Jiang spaces [ MR 956490 ]

Sehie Park  Fixed point theorems on compact convex sets in topological vector spaces [ MR 956491 ]

J. Pejsachowicz  $K$theoretic methods in bifurcation theory [ MR 956492 ]

Carlos Prieto  Fixtheory of diagrams [ MR 956493 ]

Simeon Reich  Fixed point theory in Hilbert ball [ MR 956494 ]

B. E. Rhoades  Contractive definitions and continuity [ MR 956495 ]

Robert Sine  Remarks on a paper of W. A. Horn: “Some fixed point theorems for compact maps and flows in Banach spaces” [Trans. Amer. Math. Soc. 149 (1970), 391–404; MR0267432 (42 #2334)] [ MR 956496 ]

Friedrich Wille  On LjusternikSchnirelmann theory and degree theory [ MR 956497 ]