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Ahmed Uzun - Applications of Banach Fixed Point Theorem
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Ahmed Uzun - Applications of Banach Fixed Point Theorem
In this talk, we concentrate on the Banach Fixed Point Theorem (Banach Contraction Theorem) which is one of the fundamental theorems in functional analysis. We start with some necessary prerequisites of the theorem then focus on what the theorem is. Finally, we stand on the application areas of the theorem and prove the existence and uniqueness of the solution with the help of the theorem over a few of them.
In this talk, we concentrate on the Banach Fixed Point Theorem (Banach Contraction Theorem) which is one of the fundamental theorems in functional analysis. We start with some necessary prerequisites of the theorem then focus on what the theorem is. Finally, we stand on the application areas of the theorem and prove the existence and uniqueness of the solution with the help of the theorem over a few of them.