Some existence results for multivalued complementarity problems. (English) Zbl 0777.90069

Gowda, M. Seetharama; Pang, Jong-Shi

Math. Oper. Res. 17, No. 3, 657-669 (1992).

Summary: This paper presents some new results for the existence of a solution to a multivalued complementarity problem. These results are derived under a “upper limiting homogeneity” (ULH) property on the multifunction defining the complementarity problem and on a certain closedness/interiority condition. The closedness condition seems to be new in the context of existence proof for the multivalued complementarity problem. We show that this closedness condition is satisfied by the class of polyhedral multifunctions.

MSC:

90C33

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)

Keywords:

upper limiting homogeneity; multivalued complementarity problem; polyhedral multifunctions