In one experiment, the polarization imaging of a single fluorophore firmly attached to a single β subunit in F1-ATPase has successfully revealed the conformational change of the β subunit coupled with rotation of the γ subunit.
Then T r is a single-valued firmly nonexpansive map on H, and Fix ( T r ) = MEP is closed and convex.
In fact, if is a Hilbert space and : is a maximal monotone operator, then the resolvent of is a single-valued firmly nonexpansive mapping of onto the domain of that is, : is onto and (1.2). for all Further, the set of fixed points of coincides with that of solutions to (1.1); see, for example, [5].
T r is a single-valued firmly nonexpansive-type mapping, i.e., for all x, y ∈ E, 〈 T r x − T r y, J T r x − J T r y 〉 ≤ 〈 T r x − T r y, J x − J y 〉 ; F ( T r ) = GMEP ( F, A, φ ) is closed and convex; T r is quasi-ϕ-nonexpansive; ϕ ( q, T r x ) + ϕ ( T r x, x ) ≤ ϕ ( q, x ), ∀ q ∈ F ( T r ).
The British political elite had always tended towards a single social plateau, firmly based in London.
By the end of the 19th century the era of the vaudeville chain, a group of houses controlled by a single manager, was firmly established.
This dance showed one variation after another of allongée (elongated) arabesque, with a single extended line passing firmly through arm, torso and leg.
The Congressional practice of dipping into the public trough to finance projects that benefit only a single legislator is so firmly established that most people yawn when they see the words "pork-barrel spending".
(1) ; (2) is a single value; (3) is firmly nonexpansive; (4) and it is closed and convex.
