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Fixed Point Theory and Its Applications
 
Edited by: R. F. Brown
Front Cover for Fixed Point Theory and Its Applications
Available Formats:
Electronic ISBN: 978-0-8218-7661-9
Product Code: CONM/72.E
268 pp 
List Price: $47.00
MAA Member Price: $42.30
AMS Member Price: $37.60
Front Cover for Fixed Point Theory and Its Applications
Click above image for expanded view
Fixed Point Theory and Its Applications
Edited by: R. F. Brown
Available Formats:
Electronic ISBN:  978-0-8218-7661-9
Product Code:  CONM/72.E
268 pp 
List Price: $47.00
MAA Member Price: $42.30
AMS Member Price: $37.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 721988
    MSC: 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 three-day 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 - Quasi-retractions and the fixed point property [ MR 956474 ]
    • Jean-Bernard 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 tree-like 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 functional-differential 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 - Fix-theory 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 Ljusternik-Schnirelmann theory and degree theory [ MR 956497 ]
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Volume: 721988
MSC: 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 three-day 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 - Quasi-retractions and the fixed point property [ MR 956474 ]
  • Jean-Bernard 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 tree-like 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 functional-differential 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 - Fix-theory 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 Ljusternik-Schnirelmann theory and degree theory [ MR 956497 ]
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