On solution stability of the linear complementarity problem

C.D. Ha introduced the notion of stability of a linear complementarity problem at a solution point and established several sufficient conditions for stability to hold. The present paper, derives some new stability results which significantly improve Ha’s results. Included in these new results are (i)a complete characterization of the stability condition under a nonsingularity assumption, and (ii)further characterizations of solution stability in the case of a linear complementarity problem with a fully semimonotone matrix.