An application of H differentiability to generalized complementarity problems over symmetric cones

Authors:
Jia Tang;Changfeng Ma
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

In this paper, we focus on a generalized complementarity problems over symmetric cone GSCCP(f,g) when the underlying functions f and g are H-differentiable. By introducing the concepts of relatively uniform Cartesian P-property, relatively Cartesian P(P"0)-property, the Cartesian semimonotone (E"0)-property (strictly Cartesian semimonotone (E)-property), and the relatively regular point with respect to the merit function @J(x), we extend various similar results proved in GCP(f,g) to generalized complementarity problems over symmetric cone GSCCP(f,g) and establish various conditions on f and g to get a solution to GSCCP(f,g).