Sentence examples for Complete ordered from inspiring English sources

Theorem 2 Let ( X, d, ⪯ ) be a complete ordered metric space.

Theorem 4.2 Let ( X, ⪯, ρ ) be a complete ordered modular function space.

In this study, we introduce the concept of externally complete ordered sets.

Then ( X, d ) is a complete ordered cone metric space over a non-normal solid cone.

Recently Ghorbanian, Rezapour and Shahzad generalized his results to complete ordered metric spaces, [3].

Corollary 1 Let ( X, d, ⪯ ) be a complete ordered metric space.

Fixed point results with the concept of generalized weakly contractive conditions in complete ordered metric spaces are derived.

Our results can also be employed to solve such integral equations in the framework of complete ordered modular function spaces.

Theorem 2.1 Let ( X, p, ⪯ ) be a 0-complete ordered partial metric space.

Corollary 3.5 Let ( X, p, ⪯ ) be a 0-complete ordered partial metric space.

A fixed point theorem is obtained for a monotone self-map in a 0-complete ordered partial metric space under Hardy-Rogers-type contractive condition.