MA6140 FIXED POINT THEORY AND APPLICATIONS
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.
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.