Sentence examples for be a complete dislocated from inspiring English sources

Let ((X,d)) be a complete dislocated metric space and (f: Xto X) be a mapping.

Let ((X,d_{lb})) be a complete dislocated b-metric space with constant (bgeq1).

Let ((X,d)) be a complete dislocated metric space, A and B be non-empty closed subsets of X.

Corollary 2.4 Let ( X, d l ) be a complete dislocated metric space and S, T : X → X be two mappings.

Let ((X,d)) be a complete dislocated metric space, and T be a Hardy-Roger F-contraction.

Theorem 2.2 Let ( X, d l ) be a complete dislocated metric space and S, T : X → X be two mappings.

Let (( X=bigcup_{i=1}^{p}A_{i},d ) ) be a (dqb -complete dqb -completeasi-b-metric space.

Let (( X,d ) ) be a (dqb -complete dqb -completeasi-b-metric space with (s>1).

Let (( X,d ) ) be a (dqb -complete dqb -completeasi-b-metric space with (sgeq1), andislocatedrightarrow X) be a mapping.

It can be verified that if ((X,d)) is a complete (T_{0} -quasi-pseudo-metric space, then ((X,d)) is a weak 0} -quasi-pseudo-metric quasi-metric spaces.

Now that (( bigcap_{i=1}^{p}A_{i},d ) ) is a (dqb -complete dqb -completeasi-b-metric space, andislocatedict T to (( bigcap_{i=1}^{p}A_{i},d ) ) and hence the condition (2.1) holds for all (x,yinbigcap_{i=1}^{p}A_{i}), then Claim 1 implies that T has a unique fixed point in (bigcap_{i=1}^{p}A_{i}). Accordingly, Theorem 1.5 is satisfied.