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Let be a generalized complete metric space.
Let be a generalized complete metric space (i.e., may assume infinite values).
Theorem 2.1 Let ( X, d ) be a generalized complete metric space and ≤ be a partial order on X.
Let ((X,d)) be a generalized complete metric space and (J: X rightarrow X) be a strictly contractive mapping with Lipschitz constant (L <1).
Let ((Omega,d)) be a generalized complete metric space and (Theta :OmegarightarrowOmega) be a strictly contractive operator with a Lipschitz constant (L<1).
Let be a generalized complete metric space in Perov sense, let be an open subset of, and let be a closed subset of, with.
Similar(48)
We assert that is a generalized complete metric space.
It is easy to show that ( E, d ) is a generalized complete metric space.
It is easy to show that ( Ω, d ) is a generalized complete metric space (see [23]).
It is easy to show that is a generalized complete metric space [24].
It is easy to show that (Ω, d) is a generalized complete metric space [19].
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Justyna Jupowicz-Kozak
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