The first chapter of this book briefly accounts for preliminary definitions, theorems, and results needed to develop this book. In the second chapter, we consider the approximate fixed point and coincidence point results. The third chapter concerns common fixed point and coincidence point results in cone metric spaces over Banach algebra. The main intention of the fourth chapter is to study fixed point results for set-valued mappings in cone metric spaces over Banach algebra. The prime objective of chapter five is to introduce orthogonal cone metric spaces over Banach algebras.