The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is...

This paper att empts to give a unified approach to the existing three types of variational principles for vector valued functions: A. B. Nemeth (1986), Chr. Tammer (1992) and G. Isac (1996). Some of the results we obtain are variants of the authors' mentioned above. Some are even stronger than...

In [1], we gave a unified variational principle for vector valued functions. In this paper, we give four equivalents of a corollary of this principle, generalizing the equivalence results of [3] to the vector case and improving the equivalence results of [5]. We also applied one of the...

In this paper, under the assumption that the nonconvex vector valued function f satisfies some lower semicontinuity property and bounded below, the nonconvex vector valued function sequence f n satisfies the same lower semicontinuity property and uniformly bounded below, and f n converges to f...

In [1], we gave a unified variational principle for vector valued functions. In this paper, we give four equivalents of a corollary of this principle, generalizing the equivalence results of [3] to the vector case and improving the equivalence results of [5]. We also applied one of the...

In this paper, under the assumption that the nonconvex vector valued function f satisfies some lower semicontinuity property and bounded below, the nonconvex vector valued function sequence f <Subscript> n </Subscript> satisfies the same lower semicontinuity property and uniformly bounded below, and f <Subscript> n </Subscript> converges to...</subscript></subscript>

This paper att empts to give a unified approach to the existing three types of variational principles for vector valued functions: A. B. Nemeth (1986), Chr. Tammer (1992) and G. Isac (1996). Some of the results we obtain are variants of the authors' mentioned above. Some are even stronger than...

The conventional equilibrium problem found in many economics and network models is based on a scalar cost, or a single objective. Recently, equilibrium problems based on a vector cost, or multicriteria, have received considerable attention. In this paper, we study a scalarization method for...

The conventional equilibrium problem found in many economics and network models is based on a scalar cost, or a single objective. Recently, equilibrium problems based on a vector cost, or multicriteria, have received considerable attention. In this paper, we study a scalarization method for...