## Fixed Point Theory and Its Applications: Proceedings of a Conference Held at the International Congress of Mathematicians, August 4-6, 1986Fixed 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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### Contents

1 | |

Non expansive mapping and hyperconvex spaces | 11 |

Not too many fixed points | 21 |

Axisymmetric vortex motions with swirl | 27 |

Nielsen fixed point theory and parametrized differential equations | 33 |

The fundamental group of the space of linear Fredholm operators and the global analysis of semilinear equations | 47 |

Braid groups and Wecken pairs | 89 |

A de Moivre like formula for fixed point theory | 99 |

Using fixed point theory to find the weak solution of an abstract functional differential equation | 161 |

Fixed points through homotopies | 167 |

A survey of recent applications of fixed point theory to the Lienard equation | 171 |

On the fibered Jiang spaces | 179 |

Fixed point theorems on compact convex sets intopological vector spaces | 183 |

Ktheoretic methods in bifurcation theory | 193 |

Fixtheory of diagrams | 207 |

Fixed point theory in the Hilbert ball | 225 |

Some existence results for nonselfadjoint problems at resonance | 107 |

Topological transversality and differential equations | 121 |

Fixed points of treelike continua | 131 |

Fixed point theory coincidence equations on convex cones and complementarity problem | 139 |

A characterization of fixed point classes | 157 |

Contractive definitions and continuity | 233 |

Remarks on a paper of Horn | 247 |

On LjusternikSchnirelmann theory and degree theory | 253 |

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Fixed Point Theory and Its Applications: Proceedings of a Conference Held at ... Robert F. Brown No preview available - 1988 |

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1988 American Mathematical algebraic Amer American Mathematical Society analytic assume Banach space boundary value problems bounded bundle closed compact vector fields complementarity problem consider Contemporary Mathematics Volume continuous function continuum convex cone COROLLARY defined deformation deg(F degl.s degree theory denote differential equations dimensional Editor exists finite fixed point free fixed point property fixed point theory fized point follows Fredholm operators GL(X Hence Hilbert space homeomorphism homotopy invariance hyperconvex space intersection isomorphism J-homomorphism Lemma Leray–Schauder Let F Liénard equation linear Lipschitz continuous map f Math Mathematics Volume 72 metric space Nielsen number nonempty nonexpansive mappings nonlinear norm obtain parameter parametrix point of f Poſ Proof PROPOSITION prove quasi-retract quiver retract Schauder selfmap semi-linear Fredholm sequence subset Suppose Theorem topological topological space trivial vectorfield Wecken zero