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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...

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 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 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...