7Note that because the marginal effects have to sum to zero, this hypothesis imposes 6 restrictions.
In other words, the semi-permeability hypothesis imposes that the average number of ferritin molecules N (t) is a increasing function of time t.
Proof: The hypotheses imposed on f, c and d imply that the following conditions are valid.
In this section we discuss sufficient optimality results under various generalized higher-order strong convexity (introduced in Section 2) hypotheses imposed on the involved functions.
The weakness of the hypotheses imposed on the processes and the possibility of considering infinite intervals force us to construct measures other than Lebesgue measure.
It is easy to see that the problem (2.4) is of the form considered in [7], and satisfies the general hypotheses imposed in that article.
This section is devoted to investigating the relations between vector critical points and weakly quasi-efficient solution of order m for (NMP) with respect to ψ under generalized invexity (introduced in Section 2) hypotheses imposed on the involved functions.
In this section, we discuss several families of duality results under various generalized ((mathcal {F},beta,phi,rho,theta,m -sounivexity hypotheses imposed on certain combinations of the problem functions.
In this section, we discuss several families of sufficient efficiency results under various exponential type (HA alpha,beta,gamma,xi,eta,h cdot,cdot),kappa (cdot,cdot),omega(cdot,cdot),varpi(cdot,cdot),rho,theta))-V-invexity hyponheses imposed on certain vector functions whose components are formed by considering different combinations of the problem functions.
Proof: The hypotheses imposed above ensure by (2.3) and (3.7) that g is an increasing mapping from L l o c 1 ( a, b ] to the order interval [g-, g+] of A R [ a, b ], where r ∫ a t g − = ∑ i = 1 n H i ( t ) K ∫ a t f ¯ i + H 0 ( t ), r ∫ a t g + = ∑ i = 1 n H i ( t ) K ∫ a t f ¯ i + H 0 ( t ), t ∈ [ a, b ].
