References Gabriele Eichfelder, Adaptive Scalarization Methods in Multiobjective Optimization, Springer Verlag, 2008. JohannesJahn, Vector Optimization Theory, Applications, and Extensions, Springer Verlag, 2011. Kayan Deb, using Evolutionary Algorithms, John Wiley & Sons, Chichester, 2001. - Fixed Point Theorems Contractions, Banach Contraction Principle, Theorem of Edelstein, Picard–Lindelof Theorem. Non expansive Maps, Schauder’sTheorem for non–expansive maps, Continuation Methods for Contractive and non–expansive mappings. Some Applications of The Banach Contraction Principle, Some Extensions of Banach Contraction Principle for Single Valued Mappings, Generalized distances, Some Extensions of – Banach Contraction Principle under Generalized Distances, Multivalued versions of Banach Contraction Principle. References : [1] S. Almezel, Q. H. Ansari and M. A. Khamsi; Topics in Fixed Point Theory, Springer 2014. [2] R. P. Agarwal, M. Meehan, D. O’ Regan; Fixed Point Theory And Applications, Cambridge University Press 2004. RC(xix) - Applications of Fixed Point Theorems in Economics and Game Theory
References Gabriele Eichfelder, Adaptive Scalarization Methods in Multiobjective Optimization, Springer Verlag, 2008. JohannesJahn, Vector Optimization Theory, Applications, and Extensions, Springer Verlag, 2011. Kayan Deb, using Evolutionary Algorithms, John Wiley & Sons, Chichester, 2001. - Fixed Point Theorems Contractions, Banach Contraction Principle, Theorem of Edelstein, Picard–Lindelof Theorem. Non expansive Maps, Schauder’sTheorem for non–expansive maps, Continuation Methods for Contractive and non–expansive mappings. Some Applications of The Banach Contraction Principle, Some Extensions of Banach Contraction Principle for Single – Valued Mappings, Generalized distances, Some Extensions of Banach Contraction Principle under Generalized Distances, Multivalued versions of Banach Contraction Principle. References : [1] S. Almezel, Q. H. Ansari and M. A. Khamsi; Topics in Fixed Point Theory, Springer 2014. [2] R. P. Agarwal, M. Meehan, D. O’ Regan; Fixed Point Theory And Applications, Cambridge University Press 2004. RC(xix) - Applications of Fixed Point Theorems in Economics and Game Theory
2015-16PhDSyllabus.docx