An investigation on the existence and uniqueness analysis of the optimal exercise boundary of American put option

In this paper, we discuss the Banach fixed point theorem conditions on optimal exercise boundary of American put option paying continuously dividend yield, to investigate whether its existence, uniqueness, and convergence are derived. respect, consider integral representation which is extracted as a consequence Feynman-Kac formula. order prove above features, define nonempty closed set in space that proposed mapping contractive onto. At final, illustrate ratio boundary.