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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Corporate Author: | |
Format: | Electronic eBook |
Language: | English |
Published: |
Singapore :
Springer Singapore : Imprint: Springer,
2018.
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Edition: | 1st ed. 2018. |
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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.