A Fenchel duality result is presented for a convex set-valued vector optimization problem under boundedness or continuity hypotheses. Copyright Springer-Verlag Berlin Heidelberg 1998

When dealing with location problems we are usually given a set of existing facilities and we are looking for the location of one or several new facilities. In the classical approaches weights are assigned to existing facilities expressing the importance of the new facilities for the existing...

The presented TEM-model describes the economical interaction between several actors (players) which intend to minimize their emissions (E <Subscript>i</Subscript>) caused by technologies (T <Subscript>i</Subscript>) by means of expenditures of money (M <Subscript>i</Subscript>) or financial means, respectively. The index stands for the i-th player, i=1, … ,n....</subscript></subscript></subscript>

In Nash bargaining problem, due to fairness concerns of players, instead of maximizing the sum of utilities of all players, an implementable solution should satisfy some axioms or characterizations. Such a solution can result in the so-called price of fairness, because of the reduction in the...