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Prerequisites
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Language of Instruction
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Turkish
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Responsible
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Assoc. Dr. Gonca DURMAZ GÜNGÖR
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Instructors
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Assistants
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Resources
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R1. Lecturer Notes
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Supplementary Book
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SR1. Granas, A. and Dudundji, J. (2003). Fixed Point Theory. Springer.
SR2. Agarwal, P. R., Mechan, M. and O`Regan. (2004). Fixed Point Theory Cambridge Universty Press.
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Goals
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Introduce the fixed-point theorems, put forward their importance and the solutions.
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Content
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Metric space, some basic definitions of complete metric spaces, theorems and examples, the contraction mapping principle and example, Banach fixed-point theorem, properties and applications of linear integral equations and samples, fixed-point theorem made with non-linear contraction
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