The book consists of 9 chapters.Chapter 1 The first chapter presents some preliminaries and historical notes on metric spaces.Chapter 2 We study asymptotically regular maps and sequences in partial cone metric spaces and derive some fixed point results.Chapter 3 We aim to deal with expansive maps in Partial cone metric spaces and prove some results.In Chapter 4 we discuss the notion of the N-cone metric spaces, define asymptotically regular maps and prove some fixed point theorems.In Chapter 5 we define topology and prove unique fixed point theorems for contractive maps in N-cone metric...

The book comprises of eight chapters.Chapter 1 we present conceptual framework which will be needed in the sequel.Chapter 2 we introduce the notion of Nb-cone metric space over Banach algebra and establish some topological properties. We also prove some coupled fixed-point results.Chapter 3 we derive some coupled common fixed point results in Nb-cone metric space over Banach algebra.In Chapter 4, we define the notion of Np-cone metric spaces over Banach algebra as a generalization of N-cone metric spaces over Banach algebra.Chapter 5 deals with introducing the notion of F-cone metric spaces...

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...