Two characterization theorems in complementarity theory

Authors:
Jong-Shi Pang
Affiliations:
Department of Mathematical Sciences, The Johns Hopkins University, Charles & 34th Street, Baltimore, MD 21218, USA
Venue:
Operations Research Letters
Year:
1988

Citing 3
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Abstract

In this paper, we establish two characterization theorems for the linear and non-linear complementarity problems. Theorem 1 concerns the local uniqueness of a solution to a linear complementarity problem. Theorem 2 provides a necessary and sufficient condition for the differentiability of a solution to a parametric non-linear complementarity problem.