International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 1, Pages 133-141
doi:10.1155/IJMMS.2005.133

On the concepts of balls in a D-metric space

S.V.R. Naidu1 , K.P.R. Rao2 and N. Srinivasa Rao3

1Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, India
2Department of Applied Mathematics, Acharya Nagarjuna University Post Graduate, Nuzvid, Centre 521 201, India
3Department of Applied Mathematics, Acharya Nagarjuna University Post Graduate Centre, Nuzvid 521 201, India

Abstract

The various concepts of open balls in D-metric spaces are studied in the case of certain D-metric spaces and many results in the literature on such balls are shown to be false.