d(x,y) = â_(i=1)^(â) (1)/(2^(i))(|x_(i)-y_(i)|)/(1+|x_(i)-y_(i)|)
Solution is Rectangular metric space
Definition 1.2. [2] Let X be a non-empty set. If a mapping d:XĂXâC satisfies:
(a) 0 ⤠d(x,y) for all x,y in X and d(x,y)=0 if and only if x=y;
(b) d(x,y)=d(y,x), for all x,y in X,
(c) d(x,y) ⤠d(x,u)+d(u,v)+d(v,y) for all x,y in X and all distinct u,v in X,
each one is different from x and y.
Then d is called a complex-valued rectangular (generalized) metric on X and (X,d) is called a complex-valued rectangular (generalized) metric space.
1x-y 1:B-x1+1
=(hx)P
2
Solution is Rectangular metric space
Definition 1.2. [2] Let X be a non-empty set. If a mapping d : X Ă X â C satisfies:
(a) 0 ⤠d(x,y) for all x,y in X and d(x,y)=0 if x=y;
(b) d(x,y)=d(y,x), for all x,y in X;
(c) d(x,y) ⤠d(x,u)+d(u,v)+d(v,y) for all x,y in X and all distinct u,v in X.
Then d is called a complex-valued rectangular (generalized) metric on X and (X,d) is called a complex-valued rectangular (generalized) metric space.
