We use a complementarity approach to pose the Coulomb friction model, combine it with a non-penetration condition, and append to a differential algebraic problem to characterize the dynamics of multibody systems with friction and contact. The resulting problem is relaxed to a Cone Complementarity Problem, whose solution is shown to represent the first order optimality condition of a quadratic p...

It has been shown that long-run optimality of the limit of discounted optima when the discount rate vanishes is implied by a condition on the value function of the optimal program. We suggest a new method to verify this condition in the context of one-sector optimal growth. The idea should be more widely applicable.

Sufficient condition for optimality is derived for the problem under consideration on the basis of the apparatus of locally conjugate mappings,and duality theorems are proved.A sufficient condition for an extremum is an extremal relation for the direct and dual problems.

Necessary Optimality Conditions for Nonlinear Programming are discussed in the present research. A new Second-Order condition is given, which depends on a weak constant rank constraint requirement. We show that practical and publicly available algorithms (www.ime.usp.br/∼egbirgin/tango) of Augmented Lagrangian type converge, after slight modifications, to stationary points defined by the new co...

many ranking methods have been proposed so far. however, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. for overcoming the above problems, we propose a new method for ranking fuzzy quantities based on ...

In this paper suucient second order optimality conditions are established for optimal control problems governed by a linear elliptic equation with nonlinear boundary condition, where pointwise constraints on the control are given. The second order condition requires the coercivity of the Lagrange{function on a suitable subspace together with rst order suucient conditions on a certain set of str...

The general condition for the optimality of the Viterbi algorithm (VA) as a method for implementing maximumlikelihood sequence detection (MLSD) is described. It is shown that this folding condition is not met for the fading linear Gaussian channel. This clarifies previously published results and allows approaches for approximate MLSD to be viewed as an attempt to force the VA as a suboptimal so...

Previous work has studied the classical joint economic lot size model as an adverse selection problem with asymmetric cost information. Solving this problem is challenging due to the presence of countervailing incentives and two-dimensional information asymmetry, under which the classical single-crossing condition does not need to hold. In the present work we advance the existing knowledge abou...

begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results present...

We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann–Liouville approach. A necessary optimality condition of Euler–Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions. M.S.C. 2010: 49K21, 35R11.