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...

The present book, Recent Advances in Fixed Point Theory in Abstract Spaces, is an attempt to bring together a selection of significant developments in the field. It is intended to serve both as a reference and a source of inspiration for graduate students, researchers, and professionals who are engaged in or entering into this fascinating area of mathematics. The book is structured to provide the essential concepts, recent results, and illustrative examples that highlight the depth and breadth of the subject.We hope that this volume will help readers gain insight into recent methodologies and...