Approximity of asymmetric metric spaces

Author:

Ghosal Sanjoy1,Mandal Sourav1,Banerjee Mandobi2

Affiliation:

1. Department of Mathematics , University of North Bengal , Raja Rammohunpur, Darjeeling-734013 , West Bengal , India

2. Department of Engineering Sciences and Humanities Section – Mathematics , Siliguri Institute of Technology , Hill Cart Road, Salbari, Sukna, Darjeeling 734009 , West Bengal , India

Abstract

Abstract In this present work, we perceive the ideas of rough weighted statistical limit set as well as rough weighted statistical cluster points set and originate these conceptions into asymmetric metric spaces. On this context we frame out several results which substantially intensify these perceptions. While explicating such notions in terms of their asymmetric concepts, this generalization despite unfollows some previous results rather generates new characteristics. Also, we will adorn a sufficient condition using rough weighted statistical convergence which converts asymmetric metric spaces to approximate metric spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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