ON ASYMMETRIC METRIC SPACES

Leila Taslim

Abstract


In this literature, we study asymmetric metric spaces. Next, we prove some important and practical results in these spaces. Finally, we obtain an interesting result by the concept of denseness in asymmetric metric spaces.

Keywords: Asymmetric metric spaces, Forward and backward limits, Forward and backward denseness.


References


A. Mennucci, on asymmetric distances, Technical report, Scuola Normale Superiore, Pisa, 2004.

W.A. Wilson, On quasi-metric spaces, Amer. J. Math. 53 (3) (1931) 675–684.

J. Collins, J. Zimmer, An asymmetric Arzela-Ascoli theorem, Topology and its Applications. 154(2007) 2312-2322.

A.M. Aminpour,S. Khorshidvandpour and M. Mousavi, Some Results in Asymmetric Metric Spaces ,Math.Aeterna,Vol.2, 2012, no. 06, 533 - 540

A. Farokhinia and L. Taslim, On Asymmetric Distances, J. Anal. Num. Theo. 1, No. 1, 11-14, (2013)

Leila Taslim, On Denseness in Asymmetric Metric Spaces,Math.Aeterna,Vol.2, 2012, no. 07, 617 – 627.


Full Text: pdf

Refbacks

  • There are currently no refbacks.