Sentence examples for be a preordered dislocated from inspiring English sources

Let ( X, d l, ⪯ ) be a preordered dislocated metric space.

Then ( X, d l, ⪯ ) is called a preordered dislocated metric space if d l is a dislocated metric on X and ⪯ is a preorder on X.

As an application, we derive some new common fixed point theorems for ψ-graphic contractions defined on dislocated metric space endowed with a graph as well as preordered dislocated metric space.

A reflexive and transitive relation on X is a preordered on X.

And if ≼ is a preorder on X, then (( X,d,preccurlyeq ) ) is a preordered metric space.

Let ( X, ≼ ) be a partially preordered space.

Corollary 5.3 Let ( B, ≽ ) be a convex preordered reflexive Banach space.

Then ≽ S is a preorder on S; and hence ( S, ≽ S ) is a preordered set.

Then, ′ ′ ⪯ ′ ′ is a preorder on X.

Any equivalence relation is a preorder.

An preordered metric space is a triple ((X,d,preccurlyeq)) where ((X,d)) is a metric space and ≼ is a preorder on X.