Recent Developments of Cone metric spaces over Banach algebra - Fernandez, Jerolina;Malviya, Neeraj
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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…mehr

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Produktbeschreibung
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 generalized Lipschitz mappings verifying in J-cone metric space over Banach algebra.Chapter 6 we introduce the concept of cone b_2-metric space over Banach algebra. Next, we define generalized Lipschitz and expansive maps in the new structure and establish the existence and uniqueness of fixed points for such mappings.In Chapter 7 we devote our study to introduce the structure of N-cone metric space over Banach algebra. We define generalized Lipschitz mapping and prove some fixed point results for such mappings in the new framework.
Autorenporträt
Dr. Jerolina Fernandez is a Professor of Mathematics at The Bhopal School of Social Sciences, Bhopal, Madhya Pradesh, India. She holds a Ph.D. in Mathematics from Barkatullah University, India, and has over a decade of teaching experience. She has authored more than 18 research papers in reputed national and international journals.