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Theorem 3.1 Let M be subset of normed space ( E, ∥ ⋅ ∥ ), p ∈ E, f : M → M be a mapping and T : M → C L ( M ) be a multi-valued mappings such that d ( f y, T y ) ≤ α ( ∥ f x − f y ∥ ) ∥ f x − f y ∥ (3.1).
Let A: H → H be a mapping and K ⊂ H.
Let be a mapping and be a mapping.
Let S : A → B be a mapping and g : A → A be an isometry.
Let g : N a → R be a mapping and m a natural number.
Let be a mapping and let be a maximal monotone operator.
Let be a mapping and let be a mapping such that, for all.
Let be also a -Cauchy complete space, be a mapping and and and.
Let A : C → H be a mapping, and B : H ⇉ H a maximal monotone operator.
Let be a mapping, and let for each be such that (2.2).
Let F : X × X → X be a mapping, and suppose that F has the mixed monotone property.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com