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This book presents a systematic, unified treatment of fixed points as they occur in Godels incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics. Packed with instructive problems and solutions, the book offers an excellent introduction to the subject and highlights recent research.

Fixed point theorems (Topology) --- Coincidence theory (Mathematics) --- Fixed point theory. --- Fixed point theory --- Recursion theory --- Nonlinear operators --- Logic, Symbolic and mathematical --- Recursion theory. --- Logique mathématique

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This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type.

Fixed point theory. --- Mappings (Mathematics) --- Maps (Mathematics) --- Functions --- Functions, Continuous --- Topology --- Transformations (Mathematics) --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics)

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Fixed point theory. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Extremal problems

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Fixed point theory. --- Teoria del punt fix --- Teorema del punt fix --- Operadors no lineals --- Grau topològic --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics)

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Differential geometry. Global analysis --- Symplectic manifolds --- Diffeomorphisms --- Fixed point theory --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Differential topology --- Manifolds, Symplectic --- Geometry, Differential --- Manifolds (Mathematics) --- Géometrie symplectique