We say that (1) ( X, d ) is left-complete if and only if each left-Cauchy sequence in X is convergent.
Analogously, a quasi-partial metric space ((X,q)) is complete if and only if it is left-complete and right-complete.
(3) ( X, d ) is complete if and only if each Cauchy sequence in X is convergent. . ( X, d ) is left-complete if and only if each left-Cauchy sequence in X is convergent.
((X,d)) is said to be left-complete if every left-Cauchy sequence in X is convergent.
Then: (1) ((X,d)) is said to be left-complete if every left-Cauchy sequence in X is convergent.
(b) There exist examples of quasi-gauge spaces ( X, P ) and left (right) J -family J on X, J ≠ P such that ( X, P ) is left (right) J -sequentially complete, but not left (right) P -sequentially complete (see Section 6).
Hence the complete honesty missing in most political memoirs; no bridge is left unburned.
If ( X, P ) is a left (right) -sequentially complete quasi-gauge space and is symmetric, i.e., ∀ α ∈ A ∀ u, v ∈ X { J α ( u, v ) = J α ( v, u ) }, then ( X, T ) is left (right) partially -admissible on X.
(b) If ( X, P ) is a left (right) -sequentially complete quasi-gauge space and is symmetric, i.e., ∀ α ∈ A ∀ u, v ∈ X { J α ( u, v ) = J α ( v, u ) }, then ( X, T ) is left (right) partially -admissible on X. (c) It is evident that each left (right) partially -admissible on X a set-valued dynamic system ( X, T ) is left (right) -admissible on X but the converse not necessarily holds. .
Alternatively, in an "enhancing relationship," if and when the relationship is over, you are still left complete and you don't have to resume life with the sense of being less than whole, or feeling as if something is missing.
