Advanced Fixed Point Theory for Economics

This book develops the central aspect of fixed point theory - the topological fixed point index - to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implic...

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Bibliographic Details
Main Author: McLennan, Andrew (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Chapter 1 Introduction and Summary
  • Part I Topological Methods
  • Chapter 2 Planes, Polyhedra, and Polytopes
  • Chapter 3 Computing Fixed Points
  • Chapter 4 Topologies on Spaces of Sets
  • Chapter 5 Topologies on Functions and Correspondences
  • Chapter 6 Metric Space Theory
  • Chapter 7 Retracts
  • Chapter 8 Essential Sets of Fixed Points
  • Chapter 9 Approximation of Correspondences
  • Part II Smooth Methods
  • Chapter 10 Differentiable Manifolds
  • Chapter 11 Sard's Theorem
  • Chapter 12 Degree Theory
  • Chapter 13 The Fixed Point Index
  • Part III Applications and Extensions
  • Chapter 14 Topological Consequences
  • Chapter 15 Vector Fields and their Equilibria.