Send me your address email . Im interests research in b-metric space

Let X be a nonempty set and s≥1 be a given real number. A function d:X×X→R+ is a b-metric on X if for all x,y,z∈X the following conditions hold:\ d ( x , y ) = 0 if and only if x = y . d ( x , y ) = d ( y , x ). d ( x , z ) \leq s [ d ( x , y ) + d ( y , z ) ]. In this case, the pair (X,d) is called a b-metric space.

The same definition of metric space just the difference in the triangular inequality.