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Then ( Ω, d ) becomes a generalized complete metric space and we consider the mapping T : Ω → Ω defined by ( T g ) ( x ) = 2 g ( x 2 ), x ∈ R. So, we have d ( T g, T h ) ≤ L d ( g, h ) for all g, h ∈ Ω.
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In Elisa Jensen's oils and Richard Orient's watercolors, experience of place becomes a generalized sensory phenomenon.
If (A^{L}(x)) (A^{U}(x),) then A becomes a generalized trapezoidal fuzzy number.
In addition, uncertainty becomes a generalized trouble of any social system.
Let be a generalized complete metric space.
We assert that is a generalized complete metric space.
We can define a generalized metric on as follows: (3.10). is a generalized complete metric space [7].
Moreover, if for each β ∈ B, (X β, d β ) is complete then (X, d) 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]).
Let be a generalized complete metric space (i.e., may assume infinite values).
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