论文信息 - On the parametric nonlinear complementarity problem

On the parametric nonlinear complementarity problem

A parametrized version of the nonlinear complementarity problem is formulated. The existence of a continuation of a solution is investigated and sufficient and necessary conditions for the monotonicity of such a continuation are given. The notions of strong and uniform monotonicity, originated in the linear theory, are discussed, and the theorems of the lincar theory are generalized.

N. Megiddo

[1] T. Apostol. Mathematical Analysis , 1957 .

[2] K. Arrow,et al. General Competitive Analysis , 1971 .

[3] Richard W. Cottle. Monotone solutions of the parametric linear complementarity problem , 1972, Math. Program..

[4] Arthur F. Veinott,et al. Polyhedral sets having a least element , 1972, Math. Program..

[5] G. Maier. A Parametric Linear Complementarily Problem , 1972 .

[6] Jorge J. Moré,et al. Classes of functions and feasibility conditions in nonlinear complementarity problems , 1974, Math. Program..

[7] Nimrod Megiddo. On monotonicity in parametric linear complementarity problems , 1977, Math. Program..

[8] Nimrod Megiddo,et al. On the existence and uniqueness of solutions in nonlinear complementarity theory , 1977, Math. Program..