In this paper a condition number for linear-quadratic two-stage stochastic optimization problems is introduced as the Lipschitz modulus of the multifunction assigning to a (discrete) probability distribution the solution set of the problem. Being the outer norm of the Mordukhovich coderivative of this multifunction, the condition number canbe estimated fromabove explicitly in termsof the proble...

In this paper, the concept of completely N-continuous multifunction is defined and their basic characterizations and properties are obtained.

We propose a projection-type algorithm for variational inequalities involving multifunction. The algorithm requires two projections on the constraint set only in a part of iterations (one third of the subcases). For the other iterations, only one projection is used. A global convergence is proved under the weak assumption that the multifunction of the problem is pseudomonotone at a solution, cl...

Under mild assumptions, we prove that any random multifunction can be represented as the set of minimizers an infinitely many differentiable normal integrand, which preserves convexity multifunction. This result is extended version work done by Azagra and Ferrera (Proc Am Math Soc 130(12):3687–3692, 2002). We provide several applications this to approximation multifunctions integrands. The pape...

In this paper the procedure of RF filter design using two active elements OTA is shown. The general method of filter design using OTA amplifiers, when the fully connected feedback network was designed around the two OTA elements, is shown. Autonomous circuits were gradually picked out from this general arrangement, using two to five passive elements. These autonomous circuits then serve as an i...

Recently, there are lots of control equipments in a train such as traction control, air conditioners and even internet access. For this reason, vehicle network must allow for the big amount of transmission data and must ensure the high reliability. After investigating about characteristics of multifunction vehicle bus, an error detection and analysis system is proposed. The proposed error analy...

The starting point of this paper is the recent important work of F. E. Browder, who extended degree theory to operators of monotone type. The degree function of Browder is generalized to maps of the form T+f+G , where T is maximal monotone, f is of class (S)+ bounded, and G{ •) is an u.s.c. compact multifunction. It is also generalized to maps of the form f+NG , with / of class (5)+ and 7VC the...

This paper will outline the features required for a multifunction protective relay or intelligent electrical device (IED) that meets the special requirements of the distributed generation environment.