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.
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Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
ISBN-13
978-0-8218-5080-0 (9780821850800)
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Schweitzer Klassifikation
Quasi-retractions and the fixed point property by V. Akis Nonexpansive mapping and hyperconvex spaces by J. Baillon Not too many fixed points by J. Baillon and N. Rallis Nielsen fixed point theory and parametrized differential equations by R. Brown The fundamental group of the space of linear Fredholm operators and the global analysis of semilinear equations by P. Fitzpatrick and J. Pejsachowicz Braid groups and Wecken pairs by D. Goncalves A de Moivre-like formula for fixed point theory by D. Gottlieb Some existence results of nonselfadjoint problems at resonance by M. Grossinho Topological transversality and differential equations by R. Guenther and J. Lee Fixed points of tree-like continua by C. Hagopian Fixed point theory, coincidence equations on convex cones and complementarity problem by G. Isac A characterization of fixed point classes by B. Jiang Using fixed point theory to find the weak solution of an abstract functional differential equation by A. Kartsatos and M. Parrott Fixed points through homotopies by M. Kelly A survey of recent applications of fixed point theory to the Lienard equation by P. Omari, G. Villari, and F. Zanolin On the fibered Jiang spaces by J. Pak Fixed point theorems on compact convex sets in topological vector spaces by S. Park $K$-theoretic methods in bifurcation theory by J. Pejsachowicz Fix-theory of diagrams by C. Prieto Fixed point theory in the Hilbert ball by S. Reich Contractive definitions and continuity by B. Rhoades Remarks on a paper of Horn by R. Sine On Ljusternik-Schnirelmann theory and degree theory by F. Wille.
