Fixed Point Theorem

This lecture covers the concept of fixed point theorems, focusing on recurrent sequences and the fixed point theorem. It explains the convergence of sequences, the definition of a recurrent sequence, and the graphical representation of fixed points. The instructor discusses functions and their continuity, emphasizing the properties of fixed points. The lecture delves into the conditions for a function to be contractive and explores the implications of fixed points in analysis. Various theorems are presented, illustrating the existence and behavior of fixed points in different scenarios.