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We had noted on Thursday that the Cairo statement had many of the same elements of previous such statements, but in weaker form.
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Often, over-the-counter medicines are approved in weaker forms -- with lower amounts of active ingredients -- than their prescription-only counterparts.
In this paper, we prove some fixed point theorems using various cyclic contractions in weaker forms of generating spaces.
From our results in various generating spaces, we obtain the corresponding theorems for cyclic maps in weaker forms of metric spaces.
One also proved the existence of unique fixed point theorems in weaker forms of a generating spaces by using various cyclic contractive conditions.
Then we prove the existence of fixed point theorems in weaker forms of generating spaces by using the above mentioned contractive conditions.
The problem is formulated in weak form as an equation in measures.
We express the entire problem in weak form in order to derive the adjoint formulation and apply goal-oriented adaptivity.
The nonlocal governing equations are approximated according to IGA based on GHSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of FG-CNTRC nanoplates.
On one hand, the traction continuity condition imposed in weak form results in the strong and regularized discontinuity approaches, with respect to the approximation of displacement and strain discontinuities.
They are the strong version of some already known estimates in weak form that are used to give a lower bound of the energy in many contexts (coarsening and branching in micromagnetics and superconductors).
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