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Applications of Kakutani’s Theorem and its Extensions

Chapter
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 124)

Abstract

We now show how the ability to find approximate fixed points of upper semi-continuous mappings enables one to solve a wide range of important problems, without the limitations of Chapter II. Again we point out that constructing an appropriate mapping is relatively straightforward. Indeed, for any given problem it is easier than constructing a continuous function, since u.s.c. mappings can be patched together so easily.

Keywords

Price Vector Nonlinear Complementarity Problem Free Disposal Equilibrium Price Vector Approximate Fixed Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  1. 1.School of Operations Research and Industrial EngineeringCornell UniversityIthacaUSA

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