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Handbook of Topological Fixed Point Theory

  • Book
  • © 2005

Overview

Editors:
  1. R. F. Brown

    1. University of California, Los Angeles, USA

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  2. M. Furi

    1. Department of Applied Mathematics ‘G. Sansone', Florence, Italy

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  3. L. Górniewicz

    1. Juliusz Schauder Center of the Nicolaus Copernicus University, Poland

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  4. B. Jiang

    1. Department of Mathematics, Peking University, Beijing, China

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  • Is the first in the world literature presenting all new trends in topological fixed point theory

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Homological Methods in Fixed Point Theory

    1. Coincidence Theory

      • Daciberg L. Gonçalves
      Pages 3-42

    2. On the Lefschetz Fixed Point Theorem

      • Lech Górniewicz
      Pages 43-82

    3. Linearizations for Maps of Nilmanifolds and Solvmanifolds

      • Edward C. Keppelmann
      Pages 83-127

    4. Homotopy Minimal Periods

      • Wacław Marzantowicz
      Pages 129-170

    5. Periodic Points and Braid Theory

      • Takashi Matsuoka
      Pages 171-216

    6. Fixed Point Theory of Multivalued Weighted Maps

      • Jacobo Pejsachowicz, Robert Skiba
      Pages 217-263

    7. Fixed Point Theory for Homogeneous Spaces A Brief Survey

      • Peter Wong
      Pages 265-283

  3. Equivariant Fixed Point Theory

    1. A Note on Equivariant Fixed Point Theory

      • Davide L. Ferrario
      Pages 287-300

    2. Equivariant Degree

      • Jorge Ize
      Pages 301-337

    3. Bifurcations of Solutions of SO(2)-Symmetric Nonlinear Problems with Variational Structure

      • Sawomir Rybicki
      Pages 339-372

  4. Nielsen Theory

    1. Nielsen Root Theory

      • Robin Brooks
      Pages 375-431

    2. More about Nielsen Theories and Their Applications

      • Robert F. Brown
      Pages 433-462

    3. Algebraic Techniques for Calculating the Nielsen Number on Hyperbolic Surfaces

      • Evelyn L. Hart
      Pages 463-487

    4. Fibre Techniques in Nielsen Theory Calculations

      • Philip R. Heath
      Pages 489-554

    5. Wecken Theorem for Fixed and Periodic Points

      • Jerzy Jezierski
      Pages 555-615

    6. A Primer of Nielsen Fixed Point Theory

      • Boju Jiang
      Pages 617-645

    7. Nielsen Fixed Point Theory on Surfaces

      • Michael R. Kelly
      Pages 647-658

    8. Relative Nielsen Theory

      • Xuezhi Zhao
      Pages 659-684

  5. Applications

    1. Applicable Fixed Point Principles

      • Jan Andres
      Pages 687-739
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Keywords

Editors and Affiliations

  • University of California, Los Angeles, USA

    R. F. Brown

  • Department of Applied Mathematics ‘G. Sansone', Florence, Italy

    M. Furi

  • Juliusz Schauder Center of the Nicolaus Copernicus University, Poland

    L. Górniewicz

  • Department of Mathematics, Peking University, Beijing, China

    B. Jiang

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