SOME ASPECTS OF FEASIBILITY AND SOLVABILITY FOR CONE LINEAR COMPLEMENTARITY PROBLEMS

Abstract

In this paper, we introduce a new class of linear operators for which cone linear complementarity problem (LCP) is feasible. For feasible LCP, it is important to know, when it is solvable. We give a result which feasibility implies solvability. We describe structure of the solution set of the LCP with positive operator. Moreover, the class of linear operators which are constant on the solution set of LCP is characterized.