The book comprises of seven chapters.Chapter 1 we present some preliminaries that will be needed in the sequel.Chapter 2 we introduce the notion of partial cone metric spaces over Banach algebra and prove fixed point results.Chapter 3 we propose a generalization called partial cone b-metric spaces over Banach algebra, replacing Banach spaces by Banach algebra.In Chapter 4 we define J-cone metric spaces over Banach algebra. We study the topological and structural properties of the new space and derive some fixed point theorems.In Chapter 5 we establish some coupled fixed point results for...