The \(F\)-complementarity problem and its equivalence with the least element problem. (Chinese. English summary) Zbl 1022.90034
Summary: The \(F\)-complementarity problem is introduced in the Banach space. The existence of its solutions is discussed. The conditions of its feasible set being a \(\wedge\)-sublattice are given in the vector lattice. The equivalence between this problem and the least element problem is studied.
MSC:
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
| 90C48 | Programming in abstract spaces |
