Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces

Using necessarily weak efficient solutions for solving a biobjective transportation problem with fuzzy objective functions coefficients

This paper considers a biobjective transportation problem with various fuzzy objective functions coefficients. Fuzzy coefficients can be of different types such as triangular, trapezoidal, (semi) $L-R$, or flat (semi) $L-R$ fuzzy numbers. First, we convert the problem to a parametric interval biobjective transportation problem using $gamma$-cuts of fuzzy coefficients. Then, we consider a fix $g...

Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces

In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garzón et al. [G. Ruiz-Garzón, R. OsunaGómez, A. Rufián-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004)...

Norm optimization problem for linear operators in classical Banach spaces

We prove a linear operator T acting between lp-type spaces attains its norm if, and only if, there exists a not weakly null maximizing sequence for T . For 1 < p 6= q we show that any not weakly null maximizing sequence for a norm attaining operator T : lp → lq has a norm-convergent subsequence. We also prove that for any fixed x0 in lp, the set of operators T : lp → lq that attain their norm a...

Weak Interpolation in Banach Spaces

Some Classes of Rational Functions and Related Banach Spaces

Throughout this paper, d and r will be positive integers and 0 < δ < 1. These numbers will be arbitrary with the given properties unless they are further specified. For a matrix or vector X let X ′ denote its transpose. Thus if x = (x1, ..., xd) ′ ∈ R is a column vector and A is a d× d matrix, then x′Ax gives the quadratic form defined by the matrix A, ∑n i,j=1 Aijxixj . Let Pd denote the set o...