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Let (X_{omega}) be a complete modular metric space.
Let ((X,w)) be a complete modular metric space.
Theorem 3.2 Let X ω be a complete modular metric space.
Let ((X_{rho},rho)) be a complete modular space and (f: Xto X) be a mapping.
Let (X_{omega}) be a complete modular metric space and T be a continuous self-mapping on (X_{omega}).
Let (X_{omega}) be a complete modular metric space and T be a continuous self-mapping on X.
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Clearly, the set Ω ω is a complete modular metric space independent of generators.
It follows from Theorem 3 that R is a complete modular metric space.
We note that if we take λ → ∞, then we see that X = X w and also X w is a complete modular metric space.
If X ω is a complete modular metric space and T : X ω → X ω is a mapping, which T N is a contraction mapping for some positive integer N.
If X w is a complete modular metric space and T : X w → X w is a mapping, which T N is a contraction mapping for some positive integer N.
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