Efficient solutions in generalized linear vector optimization

Vector Optimization Problems and Generalized Vector Variational-Like Inequalities

In this paper, some properties of  pseudoinvex functions, defined by means of  limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality,  the Stampacchia vector variational-like inequality, and the  weak formulations of these two inequalities  defined by means of limiting subdifferential are studied. Moreover, some relationships  between the vector vari...

Stability Results for Efficient Solutions of Vector Optimization Problems

Using the additive weight method of vector optimization problems and the method of essential solutions, we study some continuity properties of the mapping which associates the set of efficient solutions S(f ) to the objective function f . To understand such properties, the key point is to consider the stability of additive weight solutions and the relationship between efficient solutions and ad...

Vector critical points and generalized quasi-efficient solutions in nonsmooth multi-objective programming

In this work, several extended approximately invex vector-valued functions of higher order involving a generalized Jacobian are introduced, and some examples are presented to illustrate their existences. The notions of higher-order (weak) quasi-efficiency with respect to a function are proposed for a multi-objective programming. Under the introduced generalization of higher-order approximate in...

Efficient Inference in Semiparametric Generalized Linear Models

for Y and Φ nonempty subsets of l. The covariate (X,Z) has an unknown joint distribution G ∈ G, a nonempty collection of distributions. Suppose from now on that the true but unknown parameters are (θ, ρ). We are interested in the efficient estimation of the regression parameter θ in the presence of the nuisance parameter γ = (G, ρ) based on the independent and identically distributed observatio...

Reduced-rank Vector Generalized Linear Models