Sentence examples for be a compact partial from inspiring English sources

Let ((X,p)) be a compact partial metric space.

Let ((X,p)) be a compact partial metric space and let f be a mapping from ((X,p)) into itself satisfying pbigl(f(x),f y bigr)< p x,y) (6) for all (x,yin X) with (xneq y).

Let ((X,p)) be a compact partial metric space and let f be a mapping from ((X,p)) into itself which holds the contractive condition introduced in Theorem 11, i.e., pbigl(f(x),f y bigr)< p x,y) (21) for all (x,yin X) such that (xneq y).

Let ((X,p)) be a compact partial metric space and let f be a mapping from ((X,p)) into itself satisfying pbigl(f(x),f y bigr)< p x,y) (9) for all (x,yin X) with (xneq y) and pbigl(f(x),f(x bigr geq p x,x) (10) for all (xin X), then f has a unique fixed point.

Let ((X,p)) be a compact partial metric space and let f be a mapping from ((X,p)) into itself satisfying d_{p}bigl(f(x),f y bigr)leq d_{p} x,y) (11) for all (x,yin X) and pbigl(f(x),f y bigr)< p x,y) (12) for all (x,yin X) with (xneq y), then f has a unique fixed point.

This is due to the fact that given a compact partial metric space ((X,p)), the associated metric space ((X,m_{p})) is not compact in general.

To define that class of manifolds, suppose that ( overline{M}) is a compact manifold with boundary ( partial M ne emptyset ) of dimension ( n +1 ).

First we give an example of a compact partial metric space whose induced metric space, obtained following (20), is not compact.

Let ((X,p)) be an O-compact partial metric space.

Therefore, the partial derivative equals T−I, where T is a compact operator.

Barry Press is a compact man.