<h3>MA6140 FIXED POINT THEORY AND APPLICATIONS</h3>
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<h4>Course Details</h4>
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.<br> Fixed Point Theorems in partially ordered spaces and other abstract spaces.<br> Application of fixed point theory to Game theory and Mathematical Economics.
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<h4>Course References:</h4>
Books:<br>
1. M.A.Khamsi and W.A.Kirk, An introduction to Metric Spaces and Fixed Point Theory, Wiley - Inter Sci. (2001)<br>
2. Sankatha Singh, Bruce Watson and Pramila Srivastava, Fixed Point Theory and Best Approximation: The KKM - map Principle, Kluwer Academic Publishers, 1997.<br>
3. Kim C. Border, Fixed point theorems with applications to economics and game theory, Cambridge University Press, 1985.