Sufficient conditions on nonemptiness and boundedness of the solution set of the P0 function nonlinear complementarity problem

2002 ◽  
Vol 30 (3) ◽  
pp. 202-210 ◽  
Author(s):  
Zhenghai Huang
Keyword(s):  
Complementarity Problem ◽  
Nonlinear Complementarity Problem ◽  
Sufficient Conditions ◽  
Solution Set ◽  
Nonlinear Complementarity ◽  
Nonemptiness And Boundedness

On an application of the complex nonlinear complementarity problem

1976 ◽  
Vol 15 (1) ◽  
pp. 141-148 ◽  
Author(s):  
J. Parida ◽  
B. Sahoo
Keyword(s):  
Minimization Problem ◽  
Complementarity Problem ◽  
Complex Space ◽  
Nonlinear Complementarity Problem ◽  
Polyhedral Cone ◽  
Convex Minimization ◽  
Convex Minimization Problem ◽  
Polyhedral Cones ◽  
Existence Of A Solution ◽  
Nonlinear Complementarity

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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