### MA6140 FIXED POINT THEORY AND APPLICATIONS

#### Course Details

Contraction Principle, and its variants and applications; Fixed points of nonexpansive maps and set valued maps, Brouwer -Schauder fixed point theorems, Ky Fan Best Approximation Theorem, Principle and Applications of �KKM -maps, their variants and applications.

Fixed Point Theorems in partially ordered spaces and other abstract spaces.

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

#### Course References:

Books:

1. M.A.Khamsi and W.A.Kirk, An introduction to Metric Spaces and Fixed Point Theory, Wiley - Inter Sci. (2001)

2. Sankatha Singh, Bruce Watson and Pramila Srivastava, Fixed Point Theory and Best Approximation: 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.