In this paper, several kinds of invariant monotone maps and generalized invariant monotone maps are introduced. Some examples are given which show that invariant monotonicity and generalizedâ€¦ (More)

In this paper, we present a power penalty function approach to the linear complementarity problem arising from pricing American options. The problem is first reformulated as a variational inequalityâ€¦ (More)

In this short note, we study the existence of weak sharp minima in multicriteria linear programming. It is shown that weak sharp minimality holds for certain residual functions and gap functions.

In this paper, we consider the system of vector quasi-equilibrium problems with or without involving -condensing maps and prove the existence of its solution. Consequently, we get existence resultsâ€¦ (More)

Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In thisâ€¦ (More)

The investor's preference in risk estimation of portfolio selection problems is important as it innuences investment strategies. In this paper a minimax risk criterion is considered. Speciically, theâ€¦ (More)