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Fixed Point Theory and Applications: Course Outline (MAT-605)

The theory of fixed points has been revealed as a major, powerful and important tool in the study of nonlinear phenomena.

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Course Outline (Fixed Point Theory and Applications-I)

Review of fixed points; Fixed point iteration procedure; Fixed point formulation typical functional equations; Picard iteration, Banach’s fixed point theorem, Theorem of Edelstein, Kannan’s fixed point theorem, Chatterjee’s fixed point theorem, Reich’s fixed point theorem, Hardy Roger’s fixed point theorem, Ciric’s fixed point theorem, Fixed point theorems on closed ball, fixed point theorems in ordered Metric Spaces, Generalized contractions, Admissible mapping, dominated mapping, Weakly compatible mappings, commutable mappings. Fixed point results for two, three and four mappings. 

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