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Course Detail

Course Name Fixed Point Theory
Course Code 24MAT539
Program Integrated M. Sc. Mathematics and Computing
Semester Elective
Credits 3
Campus Coimbatore

Summary

Contraction Principle, and its variants and applications. Fixed points of non-expansive maand set valued maps, Brouwer-Schauder fixed pointtheorems. Ky Fan Best Approximation Theorem, Principle and Applications of KKM – maps, theirvariants and applications.Fixed Point Theorems in partially ordered spaces and other abstract spaces. 

Application of fixed point theory to Game theory and Mathematical Economics.

Text Books / References

  1. M.A. Khamsi and W.A. Kirk, An Introduction to Metric Spaces and Fixed PointTheory, Wiley – Inter Sci. (2001). 
  2. Sankatha Singh, Bruce Watson and Pramila Srivastava, Fixed Point Theory and BestApproximation: The KKM – map Principle, Kluwer Academic Publishers, 1997.
  3. Kim C. Border, Fixed Point Theorems with Applications to Economics and Game Theory,Cambridge University Press, 1985.

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