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Title Handbook of topological fixed point theory / edited by R.F. Brown [and others]
Published Dordrecht : Springer, [2005]
©2005
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Description 1 online resource (ix, 971 pages) : illustrations
Contents Preface -- ch. 1. Homological methods in fixed point theory -- 1. Coincidence theory / D.L. Gonçalves -- 2. On the Lefschetz fixed point theorem / L. Górniewicz -- 3. Linearizations for maps of nilmanifolds and solvmanifolds / E.C. Keppelmann -- 4. Homotopy minimal periods / W. Marzantowicz -- 5. Periodic points and braid theory / T. Matsuoka -- 6. Fixed point theory of multivalued weighted maps / J. Pejsachowicz, R. Skiba -- 7. Fixed point theory for homogeneous spaces -- a brief survey / P. Wong -- ch. 2. Equivariant fixed point theory -- 8. A note on equivariant fixed point theory / D.L. Ferrario -- 9. Equivariant degree / J. Ize -- 10. Bifurcations of solutions of SO(2)-symmetric nonlinear problems with variational structure / S. Rybicki
ch. 3. Nielsen theory -- 11. Nielsen root theory / R. Brooks -- 12. More about Nielsen theories and their applications / R.F. Brown -- 13. Algebraic techniques for calculating the Nielsen number on hyperbolic surfaces / E.L. Hart -- 14. Fibre techniques in Nielsen theory calculations / Ph. R. Heath -- 15. Wecken theorem for fixed and periodic points / J. Jezierski -- 16. A primer of Nielsen fixed point theory / B. Jiang -- 17. Nielsen fixed point theory on surfaces / M.R. Kelly -- 18. Relative Nielsen theory / X. Zhao -- ch. 4. Applications -- 19. Applicable fixed point principles / J. Andres -- 20. The fixed point index of the Poincaré translation operator on differentiable manifolds / M. Furi, M.P. Pera, M. Spadini -- 21. On the existence of equilibria and fixed points of maps under constraints / W. Kryszewski -- 22. Topological fixed point theory and nonlinear differential equations / J. Mawhin -- 23. Fixed point results based on the Waźewski method / R. Srzednicki, K. Wójcik, P. Zgliczyński -- Authors -- Index
Summary Presents the trends in topological fixed point theory. This book is useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Fixed point theory -- Handbooks, manuals, etc.
Genre/Form Handbooks and manuals.
Handbooks and manuals.
Form Electronic book
Author Brown, Robert F., 1935-
ISBN 1280234350
1402032218 (Cloth)
1402032226
6610234353
9781280234354
9781402032219 (Cloth)
9781402032226
9786610234356