This book serves as collateral reading for people interested in fixed point theorems for contractive mappings. The higher-order version of the Banach contraction principle is investigated in the setting of multiplicative b-metric space as well as other topics including application to graph theory. The book contains many exercises as the reader begins his or her own investigative inquire into fixed point theorems and related topics. Researchers will find it a delight to read. The exercises hold promise for further research ideas, and can lead to thesis of all sorts including at the postdoctoral level