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Let E be a real smooth Banach space.
Let be a real smooth Banach space and a mapping.
Let X be a real smooth Banach space and (F Cto X) be a mapping.
Let E be a real smooth Banach space and J be the duality mapping.
Let E be a real smooth and uniformly convex Banach space.
Let E be a real smooth Banach space and A : E → E ∗ be a maximal monotone mapping.
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"He's a real smooth, fast ground horse.
"It feels like it's been a real smooth ride, a pleasant one," Garcia said.
Next, we assume that is a real smooth Banach space.
It follows from condition (1) that (E_{1}) is a real smooth, strictly convex and reflexive Banach space.
It is well known that J is single-valued and norm-to-norm uniformly continuous on each bounded subset of E if E is a real smooth and uniformly convex Banach space, see [1].
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