the calculation of rts amounts to measuring a relationship between inputs and outputs in a production structure. there are many methods to measure rts in the primal space or the dual space. one of the main approaches is using the multiplier on the convexity constraint. but returns to scale measurements in dea models are affected by the presence of regulatory constraints. these additional constr...

We suggest new dual algorithms and iterative methods for solving monotone generalized variational inequalities. Instead of working on the primal space, this method performs a dual step on the dual space by using the dual gap function. Under the suitable conditions, we prove the convergence of the proposed algorithms and estimate their complexity to reach an ε-solution. Some preliminary computat...

We developpe a direct sum decomposition for n-dual spaces. Introduction Let X be a Banach space. We will denote π0 : X → X ∗∗ and π1 : X ∗ → X∗∗∗ the canonical maps ofX and its dual space X∗ into their respective bidual spaces. According to [G] we have X∗∗∗ = Ran(π1)⊕Ker(π ∗ 0), where π∗ 0 denotes the adjoint map of π0. 1. Remark. In [G] we also saw as an application that X is reflexive if and ...

When solving nonlinear least-squares problems, it is often useful to regularize the problem using a quadratic term, a practice which is especially common in applications arising in inverse calculations. A solution method derived from a trust-region Gauss-Newton algorithm is analyzed for such applications, where, contrary to the standard algorithm, the least-squares subproblem solved at each ite...

this paper deals with ridge estimation of fuzzy nonparametric regression models using triangular fuzzy numbers. this estimation method is obtained by implementing ridge regression learning algorithm in the la- grangian dual space. the distance measure for fuzzy numbers that suggested by diamond is used and the local linear smoothing technique with the cross- validation procedure for selecting t...