On Soft Metric Spaces

Abstract

After the famous article of Moldotsove [10] in 1999 which initiate the theory of soft sets as a mathematical theory to deal  with the uncertainty problems, many research works in the softbmathematics and its applications in various fields are appeared.   In [17], the authers introduced a new definition of the soft metric function using the soft elements. By this definition each soft metric in view of Das and Samanta [6] is also a soft metric in our concept but the converse is not true. In the present paper, some soft topological properties are given in details, namely (soft compactness, soft sequentially compactness, continuity and uniformly continues of soft functions between soft topological spaces).  We hope that the findings in thispaper will help researcher enhance and promote the further study on soft topology to carry out a general framework for theirapplications in practical life.