scholarly journals A smoothing Newton-type method for generalized nonlinear complementarity problem

2008 ◽  
Vol 212 (1) ◽  
pp. 75-85 ◽  
Author(s):  
Xinzhen Zhang ◽  
Hefeng Jiang ◽  
Yiju Wang
1976 ◽  
Vol 15 (1) ◽  
pp. 141-148 ◽  
Author(s):  
J. Parida ◽  
B. Sahoo

A theorem on the existence of a solution under feasibility assumptions to a convex minimization problem over polyhedral cones in complex space is given by using the fact that the problem of solving a convex minimization program naturally leads to the consideration of the following nonlinear complementarity problem: given g: Cn → Cn, find z such that g(z) ∈ S*, z ∈ S, and Re〈g(z), z〉 = 0, where S is a polyhedral cone and S* its polar.


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