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For our Judiciary, we will select and confirm judges who are men and women of unquestionable talent and character, who firmly respect the rule of law, and who listen to and are respectful of different points of view and who represent the diversity of America.
Our philosophy as a company is deeply aligned with the music we present - music that has Black, Gay & Latin roots that we firmly respect and showcase.
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The two are the greatest of rivals on the court, but have built a friendship based firmly on mutual respect.
That Europe, and not only that of a common market, should continue to respond to the challenge Hungary represents today, firmly insisting on respect for its fundamental laws and norms.
Then T is reactive firmly nonexpansive with respect to φ. Proof Obviously, statement (a) holds.
X has the ( U A C ) -property, T is reactive firmly nonexpansive with respect to φ.
Suppose that (a) X has the ( U A C ) -property, (b) T is reactive firmly nonexpansive with respect to φ. .
If T : C → C is T is reactive firmly nonexpansive with respect to φ, then T has a fixed point in C. Corollary 2.3 [[8], Theorem 2.8].
By Cases 1-4, we verify that inequality (1.1) holds for all x, y ∈ C. Hence T is reactive firmly nonexpansive with respect to φ and (c) is proved.
(b) It is obvious that any λ-firmly nonexpansive mapping is reactive firmly nonexpansive with respect to the function φ defined by φ ( s, t ) = λ for all ( s, t ) ∈ C × C. .
If T : C → C is reactive firmly nonexpansive with respect to φ, then T has a fixed point in C. Corollary 2.6 Let C be a nonempty weakly compact convex subset of a UCED Banach space X.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com