On the complex nonlinear complementary problem

J. Parida, B. Sahoo
1976 Bulletin of the Australian Mathematical Society  
The complex nonlinear complementarity problem considered here is the following: find z such that g{z) € S* , z Z S , Ee[g(z), z] = 0 , where S is a polyhedral cone in C , S* the polar cone, and g is a mapping from C into itself. We study the extent to which the existence of a z € S with g(z) € S* (feasible point) implies the existence of a solution to the nonlinear complementarity problem, and extend, to nonlinear mappings, known results in the linear complementarity problem on positive
more » ... on positive semidefinite matrices.
doi:10.1017/s0004972700024898 fatcat:h3gpd6sejzdefdvzbj7yr4to5i