Difference sequence spaces in cone metric space

Binod Chandra Tripathy

Institute of Advanced Study in Science and Tech.

Nanda Ram Das

Rinku Dey

Gauhati University

India

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ABSTRACT

In this article we introduce the notion of difference bounded, convergent and null sequences in cone metric space. We investigate their different algebraic and topological properties.

Keywords and phrases : Cone metric, Complete metric space, Difference sequence, Solid space, Symmetric space.

AMS Classification : 40A05, 46B20, 54E35

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Binod Chandra Tripathy

Mathematical Sciences Division

Institute of Advanced Study in cience and Technology

Paschim Boragaon; Garchuk

Guwahati - 781035,

Assam

India

e-mail : tripathybc@rediffmail.com

Nanda Ram Das

Department of Mathematics Gauhati University

Guwahati - 781014

Assam India

e-mail : rinkudey_math@rediffmail.com

Rinku Dey

Department of Mathematics Gauhati University

Guwahati - 781014,

Assam India

e-mail : nrd47@yahoo.co.in

Received : July 2014. Accepted : July 2014